{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import sklearn.datasets as ds\n",
    "import matplotlib.colors\n",
    "# 数据集的个数\n",
    "data_num = 1000\n",
    "# k值，同时也是生成数据集的中心点\n",
    "k_num  = 4\n",
    "\n",
    "# 生成聚类数据，默认n_features为二，代表二维数据，centers表示生成数据集的中心点个数，random_state随机种子\n",
    "data,y=ds.make_blobs(n_samples=data_num,centers=k_num,random_state=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 不同的数据簇用不同的颜色表示\n",
    "data_colors = matplotlib.colors.ListedColormap(['red','blue','yellow','Cyan'])\n",
    "# data为二维数据\n",
    "plt.scatter(data[:,0],data[:,1],c=y,cmap=data_colors)\n",
    "plt.title(\"orginal data\")\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "'''\n",
    "sklearn.cluster.KMeans(\n",
    "\tn_clusters=8, \n",
    "\tinit='k-means++', \n",
    "\tn_init=10, \n",
    "\tmax_iter=300, \n",
    "\ttol=0.0001, \n",
    "\tprecompute_distances='auto', \n",
    "\tverbose=0, \n",
    "\trandom_state=None, \n",
    "\tcopy_x=True, \n",
    "\tn_jobs=1, \n",
    "\talgorithm='auto' )\n",
    "参数说明：\n",
    "(1)n_clusters:簇的个数，也就是k值\n",
    "(2)init: 初始簇中心的方式，可以为k-means++,也可以为random\n",
    "(3)n_init: k-means算法在不同随机质心情况下迭代的次数，最后的结果会输出最好的结果\n",
    "(4)max_iter: k-means算法最大的迭代次数\n",
    "(5)tol: 关于收敛的相对公差\n",
    "(8)random_state: 初始化质心的随机种子\n",
    "(10)n_jobs: 并行工作，-1代表使用所有的处理器\n",
    "'''\n",
    "from sklearn.cluster import KMeans\n",
    "model=KMeans(n_clusters=k_num,init='k-means++')\n",
    "# 训练\n",
    "model.fit(data)\n",
    "# 分类预测\n",
    "y_pre= model.predict(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(data[:,0],data[:,1],c=y_pre,cmap=data_colors)\n",
    "plt.title(\"k-means' result\")\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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K4+WX9VWhzQY2yHAvGKczdj9uFebMwcr6kUegPikuxvWzs2EneOcd4/N37YLvu9eL8uWXcm8SZujHVQydQmDS0VQXZmBkuM7Px+SzezcEaN++MHa/9BKCs5KSULxerN6bNoWKbMYM2CJyc3UeoCNHcK6RF9P8+Toz57nnYoVuBjk5iCj+/XfEFTz+eKRaiwgT15Yt0evbvh3xESNHIlrZQpWG4ASlNxNCNCWi6QqVznQiGsXMi0o+zyGiEcy8POy4IUQ0hIiobt26nSdPnpyQtpU1srKyyB+PL3SiceQI0caNod4rNhtcJuuXzK+FhVjZFRXpu4CkJHC8m/S/Vvb38GFc32hMeTzQ3auwcqVabx4Omw2TV9u2alfOQ4cgtMxQKSclwX6weXPI11mNGpE/I0N+jhChE6rHgx2LprLZtEmud7fbMTGr7uOmTZHP0e2WC29Zm4iM76HNhucgUUcdfb4HDoB3X+PqtNmwiGjcOHobqhgqzTucAPTo0eN3Zpa7h6loNGMtRNSUiFYqfptORF2DPs8hotOM6rPokePAWWdFUvQSgU44P18/rqCA+ZtvmF94gXnqVOaiopguo+xv27by6weXDh3UFX//PXNycuQ5bjdztWrMNlvkb04n8+23y+s7coR57VrmffuYU1Ojt+2ss3BezZoh36enpUU/VyseD/OKFaBcXruWuWdP+XEpKcw//RTbfWzZkrlJE9yjpCTzbZKVZs1AOa16vgcOoC8yyufKMt4TiErzDicAVAnokXcQ0QlBnxuVfGchkVi/Xv59cXFoViMt8vTRR2HQS1Rk5bp1xr8nJYGVkUh3jQzGxo3yhB95ecjjKrNJFBYigjYYgQD8y+vUgR/8CSdABZOcDJ26TG/t80GtNXIkVt6liUsYNw6r/M6doQaStTsQgKpGhrVr5d9v3IgyaRLqVjFxGgWueb24B19+aay/nzVLXk9ODtHnn6vPs1CpUV4CfyoRDRDAmUR0iJl3ldO1jx+oVCUOB9QKB4zMLAlAnTrGv3fpAp/6O+6A4HE6ic44A1GtRPAakQlav5/olFPUAir8nFGjYCvIzYXOPDcXnjwjRsB4+sor4IBPTkbdbjeicDU30l9/jY3PJxhCIGp3927YFzTjs9Z2lwt9nzhRTaym8i6qUwfP8tJLEU+hCjxTtb1BAxh0t22LHhBmROsc/hwOHya69160u1YtGKmN3EctVBxUS/9YChF9TkS7iKiQiDKI6HYiupOI7iz5XRDRW0S0iYhWUBR1DlsqnfiwYEHkNtzpxHc+HzIcXXklVB2lgLK/b7yBjErhagCHgzktDSqECy+EiiZc5bRtG9QgJ5+sZ9Eiwv/NmjHn5TH37o26wtU9Tz0V2o4aNeRqjNq19WOKiphnz2aeOJF51Sp5xiojlU54BiytCBHa/mBVzw03QI22fbvxDX711cj76PUyv/aafkzHjmp1jRB6ViutJCUxP/GEUo0T8XwzM+XPMjjTl3YfO3TA2Aq+Vtu2zIWFkZUvX8580UXMdeowd+nCPGNG1PaUByrNO5wAkIFKJyECvyyKJfBjRGEhXtKff4YwcDiQAlCm6/V4kKIwTij7GwgwjxoF/bTLhesMGgRhzQydtkwvnJSEVH6HDjE3bx4q1O125rFjcf7u3cytW2OC8PkgfHr10uvX2hAu7ILrkmHmTLTZrMCvVYu5YUO1wJWV5GSkaHz99ehpGQMB5pEj0U+PB3+ffRapCIcPZz7zTOazz46cOMOFvter30uHA/esTRvcRxUKCzl97lz8P2UKru/x4Bl5PMwPPxx6/A8/oH3h1/f7mb/7LvTYZcvkE9knn3BFo1K8wwmCJfDLGBU6WAoL8RL6fFh11q/P/OCDMEDKVmjBK+Pp0+O6ZNT+FhYy79kTucL74AO1ML7wQubnn5cLMb+fOScHdRQXM8+dyzx+PPMff8iv3769/BqdOsmPnzvXvMB3uZgffdRY4MuMy5oQttkgPG+8EX0xQn4+c0YG/m7Zgp2LNoFrdana4PMxX3995ITvcGCFHY4dOzB5CoH+NmqEiXDPHua332Z+5hnmIUOYTz8dhugvvsDzfeEF+Y6GCDuyjAz9GuefLz+uTp3o96KMYQl8S+CbRoUOlnvuMRbsRiVYAGZmQsXx119Rt/1x91f1wttszI89BmEi+z0lhXnxYvPXmTs39J5oq9158+THFxREeOYwESZQl0sX+A4H1EJ79jBffbX6vrpcoSoOWUlKYv70U1w/EGDOzTW+7zfeqBasspKaCqEt+83pDFXrFRQwn3DC0d9DJrhJk5gXLYrsj93O3LUrVGKyFb52HbdbX8FXq6a+X3v3mn++ZYDjReBb9MhVGdnZyORkxjdbhk2b8DctDb76V11FdM45MJ7GSrdrhJwcUAssXCj/PRBA9GnNmvLfi4rA+WIWPXogWffFF4O3/+KLEcjUvbv8eKcTCV1SUmDI9XhgUNUiZH0+0D4MHoysWnXqILJWVdfDDyNB+IknqikUCgqQp/eZZ0AH4fMhgjfc40jD7NnmDckuF9Grr8o9nohwv7ds0Z/xtGlqOufBg+HRFV5XcTEifw8dgtFcZlAvLISH1ZAh4BSSRVQT4V5MnQrxHw/++Qd8Rhs3xnf+8QTVTFDRxVrhm8DmzYbGxqilc2f4gofvEOx2Q3950/0NBKB79nrl/vXBaobhw7HjCDfK2mxQ0aiwbh3zpZdildmwIfNLL8UcV3AUWVnMn33G/M47zBs2GPd3797ItmrtDdaRV6+u7nedOnKdtux6bdqYe6ZC4F4GAsyXX65WoWmr77Ztme+9N+S3kBW+02ns82+3q6+hFZ8PKrgvvlDvRr1eGPZjwaFD2GV4vdgFejxwSigoiK0ePn5W+BUu2FXFEvgmkJen3k5HKy4XhH3fvuoXcPVqCI45c5jfeguqkkDAfH/Hj4+ubnI4QoWKprbw+XQj47Zt8vr//Reqi2CB4/WqA7HihLS/r74qtzf4fAhq09CunbGwlH3frVvotQoLmW+6Kbpg1conn0S34QQXvz/EHhAi8B2O0gd5+Xyw3zAzv/mmfKIkwqIgOEAwGm68MVLV5PEwP/10rI/4uBH4lkqnKsPlInryyeh8MV4vVBLhmD8fW20ZHA74a3fqBN6XBx8kuuwyfDarWnjxRbW6yePRfeALC3XqA63uJk3QvtWr1aH8r70GH3tm/bucHAQm7SrjMI/t2+XpG4uKQgnbHn1U7m9fs6aaZXPDBv1/Ztz/KVNC+2kUNPXcc5EMo0YIBKBWkqG42BwthRGKi/XcwHffDV99VTvMPrfCQqKvvopUNeXmQlVmQQpL4Fd1PPwwEoG0bAl98dlnIwrT7YZArV4d2ZjCibLy8xGE0727XPAUFYH8a+1aBC9pxF9r15rX7//3n/x7hwMBTjNmqHPerl1LdOqpxoJtyRK5MHK5Ept4RIa2beXBSQ4Hgsk09O+vC32XC1HNZ5+N/qmCmzp00P9ftAgTX7jwdjrVE/2GDbEJ6Zwc6OqDr6sheJKJFU4n+v3mm8gOpqFFC/nxgYB5SmuNmE8GFaGeBUvgV3ps3QqD3c6d8t+FQPTq+vWIeFy8GBzzmzaBnfKLL9RMi/n5WA3LjHudO2NVGS44CgrMR+yeoWDAdjjQpqwstdDyeKJT9550kpwWQuPWLyvs24eJVhbp2rIlIoo1CAHe/L17QV+8Ywf6XqsWJoLw/nu9WKFrWLBAntUreFdUWtjtMHT//TdW2I0aqaOAzcJmQ67jNWvA2hmMZ56R93vwYPPsph6PnM/fZtMT01iIgCXwKytycxFC37YtuMubN8dfFaVuYSEEqJbu7vff4RUxbpw6yxOzeiL57bfoSciZkW5PtUp/+WV4n4SvZPPykLzk2mvRr3Dh4nbrnDtGePDByN2J2w3hFZ5oJZF44w1MrjIEcxYFw+/HjiV4pfvoo/CmadIE7T7zTKKffsKOTEOdOvK0hV4v+IGCBaTDYTxJqjiTmHV6inr1sDJ3OtX1mEEgAFVc06aRv11wAbyfGjTAdXw+ZD4bPTq2a7z/Pu6r1na3GzvatLTStf1Yhkq5X9HluDfa3nCD3Je7Zs3QgKOsLOZbb8WxdjuK5rXgdjO3ahWfoS01FYY/SXBPumbAPfFEGPRcLhjQZJQNK1cyX3stAsJkgUJuN3OPHvibmgqjW9++eqBVNCxYAE8ThwPtGDiQOTs7Mc+gBBHPt1s343sXr5eQDAcPyj2ckpPx26xZzBdfDJqCc89Vt8nrhTFTFuksBPOwYXp/f/xRflwsxe/X4wxUCAQQ/yGjYDCL7duZR4zAPXjuubj9+Y8Xo22FC3ZVOSYE/u7dzLt2xVbZjh14eaMJ44MHcXzv3sYh9pr7XawvrNvN/OuvUmGTPnp0pOeGy4VoWRWGD1dfZ+xY5o0bmadNY16/Prb7peHIkbjc8cwg4vnedpv6vtWokfgGLFnC3KABhKjfj8nzl18ij5s8We61lZQECoRPPlH/PnJkaH+jjatopXFjBJNVERwvAt9S6ZQFNINjkybY0nbsaM6IyEzUuzd08EYoLARF7aZNUN+oVCpEUOdo2aOIzKW083jgVdGli1ynyhypP87Ph4FRC+YKR/XqcuOwwwEPkRYtcM2WLaO3Twa/v/RqCLN44AH5tWw2oqefTvz1zjwThvKFC1EyMsDuGY4rroD+PZg9VFMV9e4Nbx/myPPsdtBPB+O779DP2rVxb6+4AikePR44B8hUdRpq1ADjaGntABYSDkvgJxo5OeA5/+svCMH8fORePffc6N4Df/2FbEsq2tvga2zfjmONuM+J8IIXFuL6PXsS3XwzhG+44BdCz9h0223w0GFWR2DKkJQEI7MMN94on2xyctAuDYcPgzp43Di4hVZGtG+PiNhgV0aHA8bIe+4pm2vabHCJ7dRJLWiTkuC5dPfdyHDWuDESx8+ahXufnAzvKC0do9+PCf2DDyJtHi4X0QsvwNPqyBEY8NPTsRh5/31MPM8/H7kg8HiIJk+GLcBC5YNq6V/RpcqqdFTbZr+f+aOPjCv64QdDEq+QuqZOhfpHFcQSXlwu5nr1wAOzciVYKX0+qGyqVweRWl5eJIlV06aRKh1VBiiXy1iFdcopkec4ncx3343ff/4ZbdJYIt1ukHZVMJTb/eJiRDtv3Vrh5F9REQjA1qNFZmskbhoTqYaCAp0t00ydY8ciYlgI2HSmTk1828sBlkrHQnzYvl0e8JKdjd+2bSOaOVPO+3HaadFd7VwuotatwQ/ToEGoC6AR8vPhTjl6NFG7drj+kiVw+dyzBx4fLlfk6vGll9QBQsHweuEeqlrZFRRgpxOOwkKizz7DPbviCtwnLWlJXh48fX75xVwfyxs2G9w/mzQxThhSGTB3LgKVtF1mIIBnMmIEPIsOHoTXlM+HZOVduoCjxghCIPHJnj3wDtuwAZ5lFYHiYuxI6tbFeO3WzUq6LkElH6VVECq9t9eLl65NG6Lrr0eQy8UXh04ODodcN6tBCKhG5s/XXew+/zy6WkdDQQHRjz/qdZ18MtprpPu+9lq5vzMR2pCcDDvF888jy5QK2ppehkAA7ogyoZmbS/Txx+p6LZjDl1/KVYoOBxYgF14INZXmivvbb1ADmlXpmbENlSWGDsUY/O8/jPOFCyH0o6XdPM5gCfxEo2dPrKCDDVZuN5gYly3DqvXQIQiy9HSiYcNwzM6d8LlfulRdt8sFOgGfT/+ucWOk7PN4IICF0P+XYcMGMGKOGaP2JZddVwafj2j6dETx3n+/8SrX5YIACT9Gy6+rpQIMB7OxUdqCOajuoRDYda5dKw+ye//9sm9babF/P9FHH0XurPPysEO1cBSWwE80bDas5IcPx8q3SRNEZRYUREZM5uVh9RoIED3xBAauLKoyGJ06RfLf3H8/VmQjRmACmTsXOwXZyj0vDyqSBx9EYNayZdH7dM018l1LcXH03KjBGD8eEabahOX3I8H4yy8jGEcW6OXzEV13nflrWIjE7t3wupEhEEBwl2yFnpcnV8OVBf76C8bef/6B6qlNG4yPLl2I5s0zPnfjRrlHUHFxdI+34wwmdQEWYoLXSzRyJIqGV16RH5ufj4E5Y4Y6IlZDXh7c8x58kAcwFosAACAASURBVOiTT0J/a9cOW9pAAC9I797Q2a9fr643Kwt683//jVx5Z2aCozw/H6qn8ePhcqmtojweorfeMh8KTwRPkM2bQfegua5eeaXuRvjWW9iaFxbinni90An36WP+GhYi8eabam78d9+FelHmGeb1wqUz0diyBfxP69aBfmPGDNA62O0Y48XFent++w3j78cf1fkMmjWT72BsNjk/0HEMS+CXF7p3h546XG1x6qlYifv9arKxYBQWwkUuXOATQUVz3nlQ2xQWhvpjq3D4MFZVnTrp302fjlW1zYYXLxAAH0ytWpgEatUCH8wpp0SvPxw+n5o24bbbiLp2hUvokSNE/frhvlW0friqY+FCucBPSYGffYcOuO8LFuiC027HmBw4MPFt6dMHO97CQqIffojOvpqbS/TII3Ay0FBURPT660TvvYffmzfHRBIs+O12ohtuSGz7qzpU7jsVXaqsW6YKq1fD5VKLUHU64X64bBl+HzPGPH+5zye/xp13xs5d7veHUjVkZsrb4fEg/aHZ/h5DqPL9HTJEzr3v8SCBTCCAyO0RI5hr1+b0MWNAh7F9e2Kuv3Yt8+jRyI3brFls41MrycmhdfbrFzpOk5LkfXS5mEeNitrEKv+Mg0CWW2YlQNu2iLYdNEjX7d91lx7wcu+9SDEYbVXudMJzRobPP4+dQdHvRySwhunT5cbXggIERFmoenjggUjDu8sFdcrMmVjl16yJXeMrr2Dn9sUXsK+UFiNGoL7HHoMqMpym2yyaNNH/X7ECu+VgI21BgXynkJ8P1er69aHf5+VBv795c3ztqaKwBH554tAh0BHv3g1D0xtvwKd+0yZsPz/5BBGmKr243Q4KgkceQUTnCSfg/LFjMdhVeloZhICw//rrUAGvYsgMBCxvmaqKNm2gJ2/RAgsKlwvqsj59wNi5f7+efOSuu+CTnwgsWgT7QW4uxmY0hwQVvF6iZ5/VPy9bFpuar6gI7KwaJkyAofr88xE13aVLdGbYYwWqpX9Fl2NOpcMMNsPwNHU2G/Mll+jHHD4sZyp0Opnvuw8ql8aN8Vn7zesFu6YqSjcpCcd4vTivSxekmtu/P7KNu3apU/fNmxdbf48RHDP9DQSY9+0DE2kgwFyrlnS8pL/xRvS6du5EZPSmTepjhgwxr7LR1DEOB4rPh7/16jF//DHqy89nnjABLK7B499s/eefj0h4SQ7n9LffTsw9rgQgA5WOZbQtLxQXw9DJYUbbQIDo55/1z8nJWPnfe6/uwePzQe3y8svwi963L3RFkpND9O236hU4M1w5MzIQncuMVZ5MfVSvHq4zYkSot8z11yOQxULVhRBQ3RDpkdcyGKkFi4uJ7rgDO1WXC/Wcdx52isHxIUTqnYIQ+k6joAAeZZmZMBprvxUWwlX5qafwXX4+4jhWr44vo1VxMdyVFyyI9ForLsa7s2oVvN2OYVgCvzzADLdGFSlaeIKL229Hxqlx47Dd7tcP7otOpzzdHREiJt1uudCvWRNCe98+uGGuXw81zjXXIDo2OTn0+HvuQQDZpEnYhl95JYK1Eugtk5cHR5yaNeNjJQgEwAk2axZ25wMGgCjSgkkkJYGGQJZD1ojlcvRo2Iry8vSxNm8exsyHH4Yeq4rxsNvhZrl/PyaJm27SJ59AQF/MvPwy1E5dusB+pBL2bjc8xw4c0BdJKqhclIVAVPExLvArXHWjKseUSuett9QeOG438/33q89duxYJQmw2eBx06CD3xPH7mW++OfI6Xi9zWhr45jXirGAPhh49Et9fA+TlYafvduPy9eszf/NNbHUUFDD37Klz1Llc6OaMGfLji4pA9169Om7jKacwL1pk/nrHjEonHB9/HDlePB5O//579TkNG8rHscsVmo9gwwb1mG/eHMcEAlJyvhB155134tiLLpIf4/dDTRMIQL10330Y02ecIU8gRBSpVqWSHA9ajokqDrK8dCoQgQA40mWrciGQ0PqFF+Tn7tuHiNl581BPfj4ClsJXKQ4Hlrfjx4P+WKNycLuJ/u//4KXx2muRRt38fPCWr12bkK6agca8nJeHy+/ahSYvWmS+jk8/BQNFVhY+5+fj9vbvL9dG3HsvIuwPHsRt/PNPpD0N5wb78UdoJ1q2JLrzTvO52oNx+DBs8uGau0qJAQNgwGzVCuqVk0+GcTMlRX2Oio5DU4toyM9Xb900p4QVKyKjxoMRCOgrehmlt4amTWF87tABgWQrVhBddpn8Idjt2FEHey35fFB1VqumbsuxAtVMUNGlSqzwCwqYd+yQ08kWFjK/+CLzmWeqVzBut3H9o0bJDbhuNzIgud1Y7ffoEUpLvH078z33IPVfly6gZe7RQ96G1FT10liBeFe8+/apF129e5uv57zz5HWkpDAvXBh67IEDchu0zcZ8zTX6ceGbMIcDyau2bzfX3337kGVPy/jYvPlRG3eVg2F/L7tMukLmNm1CjysuhsE1/DiPB+8FM/Nvv0XuOsNX79Om4dj58+U7hkaNmB9+WP6brJ1eL/PixcxPPsncsSPzBRcwz5hxTO3iyEpxmGAEAgiUKsnBmj5mDPNjj+mc6Hv2yDnxw8vJJxtf5/rr1S/Cxx8zZ2REetrk5UHtEyzlfD58J5O2bjfztm0xdT/el+Off+TpWYmYW7Y0X0+vXvI6kpOZly4NPfaPP9TXbN0ax+Tmyh+XwwGNQrT+BgLMp54a6Tji80GTVtVg2N916zDuNbWilkN5/nzmQ4eY33gDQVtPPcX8xRe4Cdq48/shZLOyUFdhobG3zRVXhOYZeOkl1JWSgodavz48hczkhBAC71v4isBMn6sYjAS+ZbSNBxMmwINAU9MEAlCZuFzwKrjsMl3foILHo1blaOjcGZS14f7LgQD8hxs2jDzn66/h1x+8vc7OhqHW7YZBTDMee70wyDZubNyOBKF5c7nNzG6PjbJl8GA4PIXb73w+otNPD/2OGcbhcAihx5tt2CDXFhQVEc2ZE5277c8/oRULd+UuKIAb+quvGp9fpdCqFdHKlYj9WLIEAYUPPgh1SNu28LbJycG74HSCEO2PP+Ahdv75odxJDgeOkfnA22xQUWpqof37kU8iJQUPtW9foueewzsSjYNKCFz3668Tey+qIlQzQUWXSr3Cb948ZPVwNANUSgqWi7KtZHBp0QKWyr17mT/9lPnzz7E6Csf+/cw1a0L/oJ3rcjF366Zu2623yq/p80FFdNVVaGfDhthaFxbG3P3SrIaefTZ0Fy8EFn7r1pmv49Ah7MSTkrBBSU7GovO330KPy8xkPukk+e2w248yRfDu3ep83T16RO/vs8+qH/UFF0C1Y+SubhZFRczffQej95NPJqbOEGzezJyezuk//xz7ubfdJl9pt2tnfF6TJvIb53brRuDcXLxzwc4KbjdoGlQ6wvBSrx7zq6/iYUsgfcY5ORgkO3fqn0ePZj7tNLyDkydje1fJQJZKJ8EI06sfFfh2O4S40cDTXqYPPsCg9fshsbxevM0aiooQHHXiibiezYZj775b3xLL8NRTci8eIaA30XSipUBpBH4ggNiZtm2hI7/0UmRcDD9m5Urm33/HbQjGV1/hVqWk4HYkJTE/9BDz998j9uyaa/AeXnWVMa2QEHD8OHyYedYsmDrCZYfXi9+0/gYCiP0JRn6+WmVks2FIlGj+uGdP+bwuu0cffIDJql495ltugWqoe3dd9eR0os7gIRM3Dh9mvvBCjMfUVHis3HtvbMJMEcTFSUnyAD8NY8dG6t/dbubBg/VjJkyQ6/qDF0JmisuFuiU2q4gxPXas/m66XBgsHTuGvvs+n+5FVIlQ5gKfiHoT0Toi2khEj0h+v5WI9hLRXyVlULQ6K6XAP3gQBFANGsgF/gkn4CVp1Uo9+AsK4LImM8Z6PLD+MUe6WCYlwYXtyBHjNm7dakzC5vUyjx9fqttQlvrOFStC0+3Wrq3Pkf/+K79tDkdol+12c7LA5cK5bjeuZ7dDkCYno7zzjt7fESNwjM2Gx/vTT/jtp5/MLzJdLkxE0TBsWGR/fD5531NSYLYpFa67LqQT6WlpaIB2A8zghBPknXY6jcdscTFcKUsmG3a5MPkEu0jecYe8brs9+m5aVSZMCGlGyJiePj3yHXI45ORsbnelM9SUqcAnIjsRbSKi5kSURER/E9FJYcfcSkRvxlJvpRP4v/+Ot0siTI++IF99hWP/+ityeSmEnuB5+HD59tfnY37/fUwIKnoDMyHgP//MXLeufIASQU0UvnSOAWUl8PPy5AtFnw/26bQ088I13uLxQAUTLEQ//jhdGt6wbBnmzljqdziMV/n//Sd/9Cq5lpICe2ncyMqKuKlHFzCxWNKffz5yRnI64bpkBjt2wFUrKQkra78fKhhmPHjZbOf1qse4EMYGYZeL+Zdfjl4+ZEx362b+gfr98IKrRDAS+Inww+9CRBuZeTMzFxDRZCK6PAH1Vh4wg6Hy8OFIf3qnEwbYb78luvpqfNexIwxMw4eDkfD22+Gc3agRIvlGj5YbmjSCst9+k2erys5GWsRouOACpExU+VNnZSFqsZLhhx/k/G/5+UgbMHJkbPxw8SAQgH++5qadmYlwiPDHnpsLm+G2bbHVX1RkTDq6YoU8oyTWTfLvjQJjo8KIpiAWErWHHya66CK8C34/SuvWcHAwg8cfR7xJQQHGZ1YWvvvmG6Jbbol8H+x2RAqrMq75/UQnnaS+XkEB3kMZdu4012YiGJXr1DF/fAVDsGokma1AiKuJqDczDyr5fDMRncHMQ4OOuZWIXiSoddYT0QPMHBHWIoQYQkRDiIjq1q3befLkyaVqW8JQUACeDQU1QlajRuS32xHerUJREbwbjMK+hYD3TUEBXEfCrycEBrnMO0eGv/82DiVPSUG2IFX+WwWysrLI7/fHdI4ZaHQ/KgaK8kLDhqAUIoJgP3Iki/79N7K/DoeeHyYWOBxgs8jOhsNKgwY6u0V+PuZiWZ1CRAp+pzMBSZ1WrAiJWMtq1Ij8GRlENWpgfMSCvDzdS8fn0zl7jhxB46tXx3sSHJQVCCDFoUwWeb3w/snNDU1w4vejbXv3yiPdbDai+vUhvFUyTqubwsb09u2Y5c3IxoQ8gMSiR48evzOzfCZULf3NFiK6mog+CPp8M4Wpb4ioJhG5Sv6/g4jmRqu3Uql0tm6VbymDt8Bud2jwUzjGjFHXIQS2p888g2MDAXjyhO/jfT7mLVvMtfn556PrPzRjVIwoK5XOqlWGtznuYrfrWgKfL7ra126H1uvZZxG4NWZMesLbFNwGrxfsABq6d4/UCHq9CMvQ7A3JyaCKCM5dEzdmzsQFSgwf6aNHo/LSuAHl5yNJSbjq0u2GP3xOjn7s9u1qu1O9eqH17tsXqhPbvj0yiMJux/tTUAD7hKzepCTmRx45Wk3ImN6+HR4FRoYghwMqr9Wr479HZQQqYx3+WUQ0K+jzo0T0qMHxdiI6FK3eSiXwmeFWopAU6ZqO8f331effdZdaunTvrme+YobCunr10OsJYcy5E46aNc1JHrcb1tAYUJZG25tvNg6+NCoej25mGTYMwVANG6LO1athGnnvPebHHzeXGMzhYB44kHnixEgdfqJLrVq6WSUzE7LS5UKfGjbUHUs2bMAwmzIlAcbaYPz9N27UmWdy+qefQqdeGjz2mNrXNdwgXFQkH682mzkr9+LFEL6azl6zcjdoAF/du+4K1ec7ncx16sANtcSDKGJMr1iBd1D1wJo3r5QumcxlL/AdRLSZiJqRbrRtF3ZM/aD/ryCipdHqrXQCf+VKDEqJISg9LQ2D08j7ZeJEeTinzxcq7JnheikzOCUnwyfZDMy6rKWkRDqwR0FZCvziYoQmnHMOc/v25oIotXd4yBB4nQZ7rWZnM/fvD+HpcuE9P/tsfT41c5vS0tK5WjXcfpstfseQaJNVRkbovTh0CHNxecuVhDxflZumVsK5NMKJ3Ox23PA1a8xdb+dO+fYwNRUD4ptvQHPSogXz7bcjQMLpxMzfti2nT58eWt9VV6mNvkKYm4gqCEYCv9RGW2YuIqKhRDSLiNYQ0ZfMvEoI8awQ4rKSw+4VQqwSQvxNRPcSvHaqFtq1A5vWGWfIfw8EkNHqkksQNvrSS6FEU1dfDWVtMAe9xwNytPDw0Nmz1Rl41q0z19727c0dV1R0VI9ZGWCzgS130SKolrt1M5eLPRAACdsll+i07D/8AHXxZ59BlZyfjzzxv/wCeyRzKEW8ETIzdTU01i2x98sIzFBvByMlBXZ+IfDYL7sMffP5EBx9440IYq2UMDIGa7aoYAwYgKjy7t1BhnbddUhB2KYNfv/9d0TXNmgAXvw5c0LP/+wz+YMpLib67jtE2i5ZAtvY8uWgGS8shO1izRpEom/ZAntDTg7RtGnqd9DjAVlbVYRqJqjoUiEr/EAArmD16mFpecopOgNWIMD8wgvSJWd6Whq+D9aZezzYZh4+rJ+/fz/UMg0bwm2yZUtE19x7b+jyTkV05nLpUX/RMG8eVkzaclT7G+zG5vWCnyRGlCfvSGYmYs/MrJIHDtTPW748cfaAtLT0hK/og4vdjkDVn36CR224qsYotCI8Xi8Yf//N3LcvFtsdO+pew9GQkOd7ySXq7ZPm02oWS5bIab+//lo/5uGH1e/Ma6/pxy1dKtUZpqel6Sv+WrXU2zibDdF4lRhkRdqaxJNPygfWr7/CCKp46476LYcXjwc+xCNGYHsqBHOnTsyPPhpal9MJddH27WjHjz9GXispKTZKSWaoai69FCHol12GgJIhQ/D5rLOYv/02rttUlgI/MxOyQIuA37ZNrQqW7bS1efOaaxInkMta4Hs8WC9oLuipqXpgF7M67kgrtWuDE2zuXN0WumJFpIHa62V+/fXozyAhz3fDBujNwh0H3G7mceNiq+ucc+Qdb9AANKd9+8LfX/Z+er3Mf/6p1/X559LQ6Ih3WCbwbTZca+hQ/H3tNXOh0+UMS+CbQU6Oehl10UXqfLFGAp8IK3kzS02NmlHDW2/pod1uN4R9Zmb53hMFykLgBwKIR3O7cavdbgjtjz5SUxfISrVqWBF36lR6QWxG4JeFVxERhPXevbg3LVqYO16jm/jqKxBNymRWamokPUSZPd89e+B51rs3+CEmTzamBVHByMKuvbM2G0p4ruf+/UPrWrtW+tCk77DNpl/b48HNc7v1Xb7XiwjjMWPAYTVqFPocL/LysONu1QoP/ZlnYISKEZbANwNZRiit1K5tGLWnFPhmrYJa0TIBacjNDSVvYoZknDoVK5ru3ZnffTfB7hrREYtAKCjAe9C0Kea+wYPhcfL66/A00YTPO+9Iky9xnz6xCXybDc4md92lDsJMpMAvq+Lx6EHV554b+7l16sh/8/mie1tWKqrghQtjt5JrJEY+X+jqXsOVV6r5sIJLaip24/36YRDXri2/niYbtNWK7JrREAhAlRvcLrebuXPnmKPiLYFvBtnZapcQr1ftdSCEWuC7XLH5GJ5zTvR2PvBAaJ1eL9xO4mC9jBexCITwd0sIlKQkCPJ69TDXqlaxmmdNLO983brQoiVK+FaEwLfZ9DwhixbFdq7TqfYotNuj0zFVKoHfu3fpbmTjxpFbmoIC3NzGjaFKdbnk73D37vo569aZf5c7doy9nwsWyOv3+3VKFpMwEvhWikMNXi+i92QoKiJ66CE9NZsGt1sdpSoE0YsvqiNrw9027HZ49bz+utrDYetWJB0P/j0nBxG1330nP6cCsWYN0gYG0/lrI7mgAF4ve/bAgWnfPnkd+fmgQnc6zSc7P3xYHTVfVeBywYFr7FgMiVjyx2vOJyo4DLJgrFyJ5yLLZJibi1QLsmydZYaNG+Xfm70h27fjvb30UkTkEmEwPfIIeDH27SN6443IweX14v3VkJxsHCUfjNWr4dYVC379Vf7QsrLgXZQgWAI/GCpODJsNPnDjx4MfxOtF4oUZM5AHNBxOJ9HQocglO2BA5ETh9SKXrdutE6EUF8MP8ZFH4KYpE/rz58snmOxs+CBWMsyYYSx4iCD8//oLHq0qFBejHjMUBklJOD5aTozSwumMTQgHI9p5djs8EK+7juixx4i+/BL3ySz8fvU1tHVFOHbsAAXUGWdAqNerp0+azMj3U6sWjqlVC16J5UKB0aqV/HunM/K9UqG4mGjmTKKuXeVCe/Bg0DS0a0eUmgq36iFDiMaNw2Rw6BBoGjp3Np4tw9sXCxo1kpMoeb2JTVCkWvpXdKkQL52XXoo06Gip0VRYuZLTX31VV0D7/YjK1QysRUWI0a9VCyqjs8/WA53WrJHTH3g8uivZ/v3w9BkwgHnQILlC2+mEDqOcYGbLv39/bLr3RBQh4ICU6HrT0tKP2gS17xwOlFgp2ZOSoBqW/WazQQX8ySegUYjHBuHzQRPRp49cDVavXmjWQA2nnKJfT1Nheb3wFnrlFbnz2qhRCR9aocjOVg+iYcOgW4/l5iQnw1NNgqNjetMmvKtah71e6O43b4YtrV073UJut0c+JIcjdm86ZtjrateOfGipqaFU0SZAlg7fJPLyYDjx+fDgkpPx8KNE+6XPng2r40MPwUVCy9QTDbNnq9/+bt2Y168Hp4c2+Dwe+Vvs8eDYckJwQpCdO/VQg2CoGG0TLeDDhamMgkh1bjSBqrmDjhmTrjy2bl1cN1pEsBB4lGeeKXc66dkT7uZaVK1qWKhKs2YIHv3wQwy/f/7B2iN4QvJ64SgTjrVrQwV6sM3i4ovVBuBatcpujDEzGisT+A4HOPTNJi7XSrhP/sKFcGfq0oXTJ00CT0+vXpGzuOaOyYwH9Ouv8DjYuBHHe72QGX4/PGyMOLWMsHYt9P9uN16e1q3jMgAbCXwrp20wXC5E8C1aRLR0KbZZ/fohss4IdjvRnXfGfr3q1eW6ByGgXvq//9NDQomgRBUCaiBNp8BM9OGHRC1bxn79UmD2bLA+//cftvYXX0z00UdIbUqEwMjwVLyJhnZbNBQUIFgy/HvVuU6nsVq2WTOiCy8Ee6bdLj/2v/+IevRA9K6RGqlRI2j4hg2T/56eDrWKpoqR7e6NsHcvVMeahvDkk6EWHjmSaNky9OXJJ9HWcOzfr9ZU/Pcffpdh/37cx3hVW1Gxf7/8phYVES1YINcXut2Izl21KvL3YGbLjz6C2lUzSOzejd92747UVQUCRD/9hP+FIOrSRf9t1iwkNf7zT9zk7t3NG5vC0bo19Js7dmCwlUWuadVMUNGl0nHpyLB1K/OIEZz+wQfIdSnbeu3diwCnefMi99JadqzwFYXXi+NVy0qnE9FJ8+eb59YxgV274C6dmord5fDhoaSGGn78MZJMLCmJuWtX/J6VpfYS0XLQluXKP1GlZk30Z86c9KjEidHqMnNM7dqIEF69GtxjseyQUlJCtRVr1oBkberU6BvO7OzQa2krfJcL2sgOHeTXjJauttRYvVp+E/x+dTS6349tTpMmoTfd5YKLYyCAnXzYIExPS8MgVr1zXm8ZdzZxIEulUwb45Rds45KS9IxX9etDx6FRNGhkaTYbBm6jRqHqoVWrQOkYLBXcbpwbCKjpjf3+hHcnKwvNC35H3G5olsLJuz7+WK7i8Hjwjo4dq95Zu93QL1e0MDej9unUCf1NT08Pz1tfZsXn0ydFp1N3YdWy+akmDr8f64riYkzaHg+GZHIyVDJGLL75+aEqJE3g22xY08ydGyl3vV499WSZYvDgSDfknj1BRihzY3S5ELG+Zw9uhMYjPXSornvUsteFC3wiRO6F69xcLtjPqggsgV8WaN06crA4HGDie+IJNR9AjRoYeHv3YnAFSx6HAwZiTcLecot88JVB4uT335e/Pz4f6EeC8d576dKupaaCFeK884yFmlkGzLIs0VgvvV6deSI9PZ0nTozdQJuokpSESXLbNuann1av/IcPh8E3/Dlq+etVrJvffBO64A3W4XfvjjXM0qVQVzdsiJSzQdkByxaBADhzevVCY8aPx5YlJ0c+YNu2jV7n1q0R7+fRd7hbN+wEtOQJPh8y3MsMVZUURgLf0uHHg717oSwOR1ERGP9ycvTMPOE4cIDoxBPh9pWfj+EWfP6WLVAIn3MOnLBXrSJau1Y/rkMHoldeSXiXFi+We4IyI+VfMEmo3w9VaXgXs7Ohxqxd2/haiXaZdDhiq9PjAQvn4sV4VMEqW6cTLtejRsF8o+G66/A4li8PfWTlgYICmJZeeAEMml274nO4qvm118D8Gf4cmaEWXrdOJ58MxrZt6tSRCxYQdeoEj+FZsyJ/z8iAt3C1akS9esXujRgVQhBddRVKMGbMkB+/ZQuCCYzYYps0gYvlsmWhjJg+H9GIEUR9+uAdXLMGrppnnlmGhoryheWHHw+MkogWFkYfHHv3Ek2erLZqbtiAv6mpGJQ//QR/4DlzIKUSnF4wK0v9/tjtRM2bh35Xpw6aEB4SIARyz3bqZN5dOREwI+y1R5KaSnTvvURTpyJ18LXX4v3v3h33YNs2GCoHDw49//338f6Xt7DXUFAAt/DRo4kWLpS3o6CAaNcu+fk2m3oNctppakHNjDXKa69F/vbEE/AVuPNOov79wVz899/m+lNqzJ4tX6EIgRsUDVOmEJ1yCmb/lBTcoKefhveBEFhwDRqE6LdjRNgTkaXSiRl794KBMkgfEBKW7XSac6D2etXsfsuXl2uXXnlFrYFq2RJ64bVr4fp8/fXMX3+dzhs2IAeE7ByPh/m550JvgxBwYaxINY7fr2eOigXffx9bxqt4EqSURVKV4FK7tpqSJRAAX4+mPZRRSbRvH3rOrFlyjUqDBnI//4TjhRfkNq7kZOiozGLdOuYFCzh9zpyya2s5g44baoUtW4gGDiRq0QJLtpkzE1s/M9EFF6BeViz1tC2i0S6ACEvk8GWy2w2Xr86dE9Nek/j2W/nqz+EgevllsDaceipC/CdPRrT6S8JUugAAIABJREFUNddg1yxbGWr5LQ4cQN2ffQYPuwkTyrwrhsjKgkomFjAjD7YZOgGnE8Pvyiv1x2rWQ081nBIBIbBDMWIB+eknBJOrkJUV+vnFF+UL7CNH4NFc5hgwQN4hlwthymbRqhUSqsTrSlnFcOz0cssWbNE+/ZRo82YoH6+6CvvgROHXXxF3rsqEo8HrDX3rZRg8GNLnyiuhO6xRg+juuyuEIkGlc3e54Ap8220QeJrqJBCAPnjxYrlveiAAbVVKCvTgN9yAkIOTTy5fVU84fD6ob8zijz+gzoqWvMlmwxy9eDFCIr7+Gvdq924I2tdfB1VBrL71iUJSEuIijOB24zmrhmxw23/+Ga+XDEKUE9dOw4bQy9WujYWTz4eFXnp6xdzov/5CYMpFF0H9Gj5DVhaolv4VXWJW6dx6q1yVYoYA3Cw++8xc8gS7HYmV33hDritp0iRxbUoAZs+O1C7ZbHB4WLIkMhWAtuVv106ulbLbmb//Hj7gffvCZXrcONAtqDxNy6PUqmWejv3wYd1VUcWW6XbDgURL1mKEffuYn3oKrp6y1MZlXVq0iN7G3bvxfML7a7PBO1JDq1bq63i9cVG4x4+iIkSjrloV6YY0fz6CQ2rWRMKf2bOV1ZSKIfSzz9BxzY3L60WatgrKX0HHhVtm48byEehyQQGdCKxZYz55gscDSelwQK+vpTS6+eZypTI2C02Pn5IC3WyrVsxbtuiZk2QCv2dPeIiGC33NXzw8F0XXrsw33lgxbpkdOpjPh82MxCuaYFYJ/KQk9LFXL+b//jNf97Rp5S/027QJbUNmJlIpPPYYJmdNv3/rraCSCD7X79eZO/Lzjd1TJ040fx/KBPn5IAD63//kwQMKquG4BX5enjw5ktsNQ1YF4PgQ+E2bqkehljowEejXz1zyhODicIDr3izHTgXh4EEY45Yv1xdLgQAMt8FGxbS0dPb5YBsLBJhHjjQnxP1+8NPF6s/udMIVum1bPQAplvNdLuSMjQWjRul9MsOHb7cj8ZEZFBZik1eefv39+iGuIDMTuW6rVdMncr8f5GlHjqBtkyalc40a+rD9/Xe97YGAerKqUye2e5xwzJ+PjqWkqG/uiSdKT41b4C9bps6Gd8op8felFDAS+MeODl9FlepwQO+eKHz5JdFll8XmqlVUBCWqxsddSaH5UnfurHdPCKJp08AOm5ysU+8OHkx0xRX4f80ac66RWVlEb70VO63uzTcTzZsHrpjDh6Pbw8ORn080aVJsFOVdu8pVwarHXlwMN8V586LX7XCArknGrF1W+O47GGXr1yfq3Rv3QrNNZGXhGb70EtrWoAGM7IWFaOepp+K+jxmDc5s3j3wGXi8okysEO3YQ3XUXiIIyM9FY1SDbuFH926FDsQeJpKaqbXrVq8dWVzng2BH4Kt7spCQ8lGBs3gxu+ylT1M7JKjidxtE3RhPBE0/AzSUaSXwlQV4emjttGtHEiTBGvvcevHNefVXvqhH/ejBsNnj4mIXLRfTJJ3hUGn+d2x1f4FZSErxtzOLssxGcFbyO8HqNnTlycmCvM4NGjcCNF42XL5HIyYExXearn5eHZyzDgQPgwX/iCXjzrFwJGed0wjDvdsPf4L77yrb9Umzbhplz3DhzK4maNSMf4jffILqwdm2seh5+2Pwga9UKJdza7fMh4KOyQbX0r+gSs0pHZnkMjykPBOBM7nbrRCPVqun89GYRZhwOUelcdJGxH77fj9y1WobqSoq1a+G77fdDpeL3I7I9Ly9y+7t0qTr/ezzFZgP77bZtke36+Wd1zIBR8Xpjz59dUIC8sm+/nc6nnII8vD17Gl9HI5AzgyVL1FnzKoJgrlkztCv8+T76qNzYXq0a1D2HDsV2XxOKW24xnzjA62V++eXQ8+fMYfZ6Q99hr5f5nnvMt2HbNhi9/H6od9xu0KtUEOi40OEzQ/GqWR6TkzGCN27Uf58xQ/6G1a0bW6LgJk1Czj86WOrVAwNZNCWz0xm7Urmc0bFjZDc8HsS7yPSdL7+sk37FI5DDBf7YsXLb9ttvx86z7/MxP/NM/PciuL9//aWe3Dwe8N6ZRSCACSLYuC0EdOFnnZUYIR5L6dUrsr/MzCedJD/e7wfvfoWiYcPoHdMSKD/zTKQnT7duoe+wVhwOvM8eD/P558PwYQSNJ3/q1Ngs+GWA40fgM8P3b/r00GwSGi6/XD4gkpORKVqG77+H8aVWLbBGLV/O/OmnIW/9UbbM8LfXqKSmxte/Msb336sTihNhw6QycO3ezTxpEjx3Spv8xG6HkVZjnN69m/nxxzERmTEQ2+0Q9C1awCVURRxmBuH9Xb0a/FrBE6LHA08YM7uIGTNAklq9OiJTgxeoDgeiXivCffW00+T9VU0+brd8F1auOOUUdYe8XubLLmPesUPtBl0yYUR1vPD7mTdsKN++xYnjS+AboVcv+cNMSZH76I4fL8/ttnw584QJ+mAZOxbH1qhh/u2qUSPx/Sslpk+PLqjr1mWeMiWd+/QBg+PkyZGh9Coa81hLUhLzXXeB3LBmTbUQtNtxrMuF67Zogfk+UVBNcIsWgWqiRw/sSMwI+8mTo6u/NGrj8hb4ffrI+/vFF5EbY7ud+YwzSndfE4LPPpPv2p1OUMBG43kooUkx5WlXRSiSLYGvYcIE+eDw+yMzfRQVYVUve/g9e8Kpe88e5uJi/QUxSxbjcsWmI0ww8vLkGqw2baI3XYhQN0Wfj/m66yJX0AMHRl+Jm1G91qjB3L+//FibDZuz/v1B4btnDzxwS7Oal6FUQTlBCASg8TMzROLJZ1ua4vOB2lrW30CA+eGHQ+M02rVjzshIyG2JjuxsBEbcey/ze++FUhUHAqAkl93AU0+V17d9O4xUxcUI2grX4atKx47l0t3SwhL4GgoKsBzTHImdTiynvvwy8tjdu9XKaCEw6p1O5m7dkNOWGYnEw8/RkpokJ2MZqjk9VwC/9tKlGLM2G5o0aFDoqtSsX3i4X7qMMz8QgOrTSKC5XMwnnCDP8aqVmjXV867LBSFf1kiUwM/JMSfInU7IqrImVNNKUhLilKL1d/duqKh/+y3xk6oSO3diJ629sz4fvAk2bdKPufpqece83tDML1u2QBfndqOe+vWxs1+2jNPfew/vaNOmcrWszYaowSoAS+AHo6gIo3bIECiFVXq5vDzT++r0MWOQ1T4nB0Ygnw8TSXIyAj22b2f+7jtk9v7553KiEwzFxo2Rmxu3G05FzPC0MCsgZKH3Z50F4ZySgvdv82bUHa0uux23SCbckpKQqEhlU3C5Yve8iQeJXOFXqxb9nng8WIAaxRImqtjtWKfI+vvDDwh4q1ULm9rwSb1ccO21kVtFmw0Z2zWojAypqczasysqkke7eb3MW7aEPuPrr5dH6Va4hdocLIEfL4YNMyX009PSdF7YQAAK5HffRdhqvMJ92zbmDz7A7iMB5CRDh8pVLB4P5rwDB8yrEWSRp6WJGvV4ELBYo4a+2ne54B2Smcl8002R5zidmFjKA4kS+MxYScuGlBBYxHq98AlgNqfvJ8LQM+srICtXXhnqEZWens6ffy43Xy1enLBbYQ6qG2C363rJ++6TH+Ny6T6js2erfV07deL0WbP0a+bl4YVJSsKDadwY7ptVBEYC/9gJvCoLvPQSsjt4vYguMWK/zMwEU58QyJBzxx2gZhw+nOimmxDBJIvIY46knHzqKWSwv+8+MPDVr4+Qx1Jg5Up5LElSEoIPq1fHJeNFrNGzwcjNRe6JgwdDb9H+/UR//omAr3AwI2q3quHRR0GhHA4hEMm8axeGCxGSs1x4YfQ6d+9GBGy8+PFH5PkIZrkcNiyS9TInBzFJ5QojTmct2k8V3tyjByLDiHBjmeXH/f03Qo0zMvA5MxM3xeVCdNmBA0QPPogI3iqOY1Pgb9sGQd2uHdEll8QvLB0OpBg6cAD0yw88oA4ptdlCQxi/+gox6WPHIq5/0CDE62uRvUVFRI88ggHpdCJacP58lNGjcVx2NgjGDx8muvTSUkXodukC4R6O/Hyik05CFOXGjaG/ud0Is09ORjNTUuR1JAI//qgvubR27duHaFTZRKVRPlQ12GyQYeFyLBDAo165Uv9OCONMfcEIz9AVC3JzkUlTixIOBHDvZSi3jFYabrghctA5nRjQw4Zh4K5ZIz/3n3+QweqUUyADVNGz2qLrpZfwecgQyJAjR/DOZWWB12PEiMT1q6KgWvrHUoioNxGtI6KNRPSI5HcXEX1R8vuvRNQ0Wp1xq3Q2boTuLlh/4fXCt6w0yM2FZ41KpeN260Feubny7aPXy/zWWzjm9tvle+a+feUK7ZQU5pkz425+RgZuS7jveP/+cC+U7ZxdLoQ15OXBg+Obb+BlYoZMLFHFSFXh98PFuqyRSJUOszocJCWF+auv9OOys80FsXXrBs2fKmrXbGnXTu+vSvvRqlVCb0V0HDoEJwe/HwPS79eNrkTGFv/wwezxKG9oeloaPAh27VK7l1XS2JlwUFmqdIQQdiJ6i4j6ENFJRHSDEOKksMNuJ6KDzHwiEb1KRC+V9rpKPPkkZuTg2Twnh2joUHm2DrO4/HJks1DBbseqgAjJUmU7gZwcqHb278eqP3zPnJeHJRQrtp6x8v4EoWFD5G+5+GJoqOrWxQbj44/BVyNLr5uUhN2yywWVQUFBbARkiYBRLou8vDLJ517muPBCOddffj6SrnTujIRt99xj/MgdDqjixo9H8njVsDGL4IX0ffdFttHrxetVrkhJAfHg1Kl42DfdhHdLY34zu+vNz4dMMMpRm5EB9alqJ1Aa+VFJkAiVThci2sjMm5m5gIgmE9HlYcdcTkQfl/z/NRH1FKKMMgPPmyd/MFlZYNWLB3/+icTIRm9fdjbULrfdBjZNlb4vOZlo61a5biQQwFvr80X+VlgInWQp0Lo10fTpaOru3TAVOByoWiUsgsf+2rWJTeTj86mTZxNBpdSxo/r9LCpCXveqhltvhVwJnsy8XpDQvfYahP6CBZiIVUhNRSatrVuJTjyR6IQT4iOVC77+HXfon0eOxITj9YLgrVo1pDXU7AvlCiEw9u+5B8SFstWJGRQWwlDUu7d8JWE0YzocoIet4kiEwG9IRP8Gfc4o+U56DDMXEdEhIqqZgGtHom5d+feBAEZtrPj4Yyy3zAyynBy8paplsM8H20Lz5vKVid2Oa/XogbefCAPN4yF65x3dAJVgXH+9fI4pKgJdsoa2bfVmydCpk5w4UAW7HSmCZXTHTicYK9u1M34Pjxwxd63KBJ8Pcuvhh4natCE64wxQQOfmhg4zIwF+xhmwb6SkgIFUNaTMwOGADBw0SP/OZiMaNQrmq02biPbuhbz980+iX36pQMLX0hqRqlfHLvuii8zX5fdji1wVt5NhEFzKfaAQ4moi6s3Mg0o+30xEZzDz0KBjVpYck1HyeVPJMfvC6hpCREOIiOrWrdt58uTJsTfo4EEse4LdRoTAg27WLLa6Dh0ClXIUF5SsRo3Ir1n4ZdCWqHXqgBeXiOjff2EZC67bZoNUdbuxQ8jMhFSsVavM83Ru3YpbFwjoDhCNG4NNVgMzjIp16mRRRoZc8ttsocZXI9hsEFg5OZECRAh0uU4d7LSNHoE2JzZuHDtXvhlkZWWR32imSwC2bIFwNYvGjaEZzM0tnYeU243XIlh9I+tvbi7R+vXYPGvjo1mzSObxMsf+/Zjh4u107dq4eUR4v7ZsIQoEjN9hpxMrmbIYXGWAHj16/M7Mp0l/VCn3zRYiOouIZgV9fpSIHg07ZhYRnVXyv4OI9lHJZKMqcRttAwE9vZlGVXrZZfFF6HTsaMogFDUs+4ILIlmmiouZX3wRdAxOJ/PZZ8MZvYIQCMB4O3w487PPhpKMBmPXLubx49PLJVuTEAiyPPts88cHu1MnCok22sqgChb1eGCfFEJPHTl0aGK4iohgrA9P/Rje34wMeZyFFsNRriguZr7hBjRci2CvUQM0yWY67HQiUrd/f+bevc29w5ovfgUETMYDKsvAqxIBvpmImhFREhH9TUTtwo65m4jeLfn/eiL6Mlq9pQ68OnIEZN07d8ZfR/Xq6kFQo8ZRi396Wpo6957Xi2TmVRzZ2eCDP+88CPxzz41PwCQlxZbTNjkZEZ/t25s7vnbtxPe9rAV+IIDgKZXALywEncHs2Vi3dOqUGGGvFbcbzL7MiGWaMSOdly/X5VvXrmo5GB6lW274+2+8V19+Ca84ZuYHHjDPRxE2g0VdtCUnMy9YUEGdjQ1GAr/UOnyGTn5oySp+TYkwXyWEeFYIcVnJYeOJqKYQYiMRDSOiR0p73ajw++EHX79+/HV06CD/vkYNWD3T0qCEdTqhAG3SBPoFDZpeokIsXYlDdjbR6afDq2fePKh+Fi6MrQ5NW3X33bE7Oxw6BKcmny96Zq29e6E1GzoU/5c3tm2DUbZhQ9g0Jk2CxDDC3r3QVMjgdmNInXYaUc+euAcqt3MZXK7omoi8PJiWFi5E3MW6dUTnnYc+/PIL0ZIl8vOYKzBrZ4cOeMjXXKN3sGtXYyNTMGJVCQmhfkhVCaqZoKJLhVMrFBeDU0O25HrvvZBDj64Ad+9mvuQSbBsdDugiwvfL//4L1s4pU/SVSSXH66+H+unH6ofv9SI3DTNojGJhgnS7ccuYmVesgA97vXrRz3M64VadCI46syv8jAxs/IL75/MxP/mk8XlZWWrqZ1nO7ebNzd8/v9+cf77GBxj+fJOTjZ/X5Mmx388yQ1ZWbBTlsazw3e4KT2xiFmRRKyiwZAloEFwuuEvecINuOXv1Vfj+BkMIWPeHDJHXV7cuwj+16NjFi7ED0PDUU0QtW2JlcuutOD7WpXIF4LvvIkMGosHh0G/ro4+CYYIIAZJGeWGD4fMhN7Vm527fHm3ZtYuoRQvjcwsLsSCbMCG2dpcGaWlwWw3ewWRnw7nDKH7B58OwCndR9XqJ7r8f///2G0JBWreGIdus/TArS3dZjwbZMw4EsJiW7ayqVye68kpzdZc5JkzAbl52o0vr8KBlaK9du3T1VAaoZoKKLmW+wv/1V3nUndcLi6VqGen3Q+k6dSpCHNu04fSJExGSaoS5c9VLrf79YXOopLjuulDVqJkVvs2GBVEwKdfu3SA/jLbCr1cP7IxTpqhpeHfsgE0+WjuuvLL0/Te7wlclX0pJYf7lF/V5//sfVvjafRECO5SBA0HA+uyzOo+Xdm9jsYOYKarn63Agp22jRvrrYrOB9XPLltLf24Rg7lz5u2yzIUvdJ5/A8BEetm2zHbV+p48ejTpk1K3VqlVw4t7YQBZbpgQXXKAe/b17q/fYQmCPHvTGpaelYVBo+fhk6N9ffT2nEwOzkmHHDmik5s2LT6UTLOzz80H3G01QJSebZ2QMBEBFcMMNagoCu535mmtK501iVuBffbXcZmiUClCVZtlmg5A3yxwgOz/eJCrhCW4WLYLR+NVXkZv7889Bt1FpYMTD7XKBnjwzk/mqq/TUaE2bMv/0E1gwH3uM07/4AqnVVAOpX7+K7qVpWAJfhtq1jQWwyhewVauIN+mo/k+2nMzKYn7uOT2Bg6pUiI+bHLt2wTPD7Uaza9dmHjwYTQzPeKUqQqCuuXPxrrRubU541aypTxQHDiCD3eef431VIRAAlbKRg4bNhlK3LvOYMbEl8DAr8JcujeQkcrn0nAMyqLJuxluEwAR4552Y6Eoj8JOSmM88E88kORnPv0MH5DqoVFBlWSfCAP75Z/3YI0ew1QwbAOnp6diGqfyNHQ7LLbMsS5kL/C5djAfJsmV4e7UBIIRufQw7/qjAd7tDr1FQgK2kGQas1NTQgVlBCATwUoevxL1eCLTPPmMeNy6dPR40WZXVsXlz5tGjzedm9Xqxmpw7F+2YNEnPIaMJm3Hj1O/c5s3mPfLcbnDXmRX6sbhlfv01c5066I/LhTWAkTbg1FPjE8qq4vPpE+batfHtENLS0tluh2t7+POz2ZBHpFLJvrvvVj98k5nW09PTkR3LaCatImodI4F//BptR46UcwDYbDConn462MauuQZRdv36geDkvPPUdRYUEO3Zo3/+7jtwDpshPcvLA09xBePPPxFKHx7Wn59P9OGHsGu3bAkDX2Ymuigz6G3bBkNtNGOvxwNqh1dewTk9esDWPWAAojuPHEHJzYWtvEEDXDMc1aoZ8/IEIy8PhGPNmxNt2GDuHLO46ioYlVevhsviN98gmri4GN+FB3P265c4ymmvF3QLmmdw69ZEL7wQX121auGehkdABwLwa1iwoHRtTSg0mvFwOJ1EffvqkbXR0Lat2sCrkR1VcRy/Ar93b6IPPgiVEg4HfHk1Xuz27cG7sW4d0ZQpoDE8/XRjydK0KXizmcFtb4ZtzOuFr36DBqXqUiKwc6d8HiwuRhT6oUPwG7/zTqJx40DgJUNxcXR/e4cDjg9CgNb85JNR7/nnq8/ds4eof3+iiRNDqQjiYc7YuhXMlcyxnRcNNhtCMjTqpqlTierVA/9Ny5YgbNy5E+2fPj1xvDRXXw2CMw0HD8JzKBa4XCjz5qGNKj6fCvO/l6FRI3DfB8+ebjfIfyZNiq2uN9+MXME4ncjQY9a9rDJDtfSv6FJufvjFxch7+fHHzH/8Ye6cDz4I0fVF+PD6fLAmjholV+f4fMjDmZqK/fHo0ZVmj7xrl9pe3agRPE7GjEk/usuNR+0ghNrTxGydGtVA9eqIEygqgnFRoyEw2xa/39iDhrl0kbYrV0aqRex2qJ379Cldasjg4nLp8QoaLr449vr79tX7+/77coOy2w37ZqXErl3MH37IPHGiseEnGHl5MNqeeirzGWcwDxoEvZw2wNLSyjFre+lBlg6/DDBnDvPJJ7NU4BMxn3suBl/4GyMEFN/5+WXavJ07mR98EHRAl1wSW1T4sGHGwTqlTYDSsGHpcrCGF4cDDhjMzJs2QaVbvz4Ea7TrpKQwT59ufD9KI/DvuEPuLePzJda1UgjIuD17cN19+9QTt1Hxepm//BL9zclhbtMmdM3i8zHfdVfctyMxKC7GgJ46FZZ9DW+8oSdH0RIET51qXFdREfM553D6mDF6J51O5tNPh9ddFRL0GiyBX1b480/m5GS5wG/fHr5rixYh5NPn0/18V6wo02ZlZDDXqhVqsPN6EeBrBoEAjKYqgWHWS0eVNaksitcLepVgHDmCVe/MmeqwCrc7VGbIUBqBH8TPFVKiRbDGU+x29OfOO+HwFW8GrDff1Pt7+DCczNq3x6Z00qQKloGrV2OrmZyskyOOHs28apWcUc7rNXaXnj6d2e+Xv8PVq5ed59yRI8wffYQgjJ9/TugO30jgHwNKqXJEQQGsi61aQWH8+edyhbfdjmwhXi+U0m+/DXsAM9F//4Ho/ZlnkHGiVy8oWjMyiB5/HPW2agU7QpzK3eefh0E1+PScHERtyvKoh0MIGFLz8+O6PAkBW1m858cDZgROH/7/9q4zTIoqa5/bOQ0w5AxKkiCCoqKYEFAQFSSIqKuyYPxWVFZUTKismMAAoigYYAURFSNpBRtBFlEEBBSJskhQkoRJPaHP9+OdotO91dU93dMMU+/z1DM93RXurbp17rknvOcoHtGFF6IWzY4dyGLdvh2PIJwG2OMhGjMG9n8VCgpga7/rLhQnSYTCmAiP1+2O/T4QkNcgKAtKStDe6dPhN5BV1TJ6Hg1ZWfCvrF8PXp3rr4/PZ5Q2BIN4mLt3h7LZCwrQwGeflQ9uiyU2Yz4cS5ao/WyHDxPdfHNKmh6BDRvgSL77bmTfX3MNBmwZKtoZhmomyPSWUQ1/717E1/n9WPIxQ63p2TNWi7DZoB1oxlIZa6bKYK0d43Tic3TB2R49klKnmjWTa24+HxQho6hRQ34elYZvtzP//e9g1mQue43V8NVCvH18PphPatUKmSC0SNrXX2fetIn5/vuZu3RB2Gn//ni8ejhwAOGlms9CC0Vdt874PTxyBG6aZBOokt0aN0amcnhksZHNZmOeNi3OjckUli9X57M0bKhmq43ivopAaYatkkvHbk99OGbbtrHXcbuZn346JacnU8NPAI8+Ci1bK1XYtCkqP/zwA3hvoitfaWEMHg8ifITAIwxHMCgPd9AY+wKBUHlDDfn5UKlWrky4C3Xryr8vKoosaBIPDz4YqyVqxS9kvC+NGxONHx86Rk9zTgTRtzMaQkBJe+stRBBpihIzVjbDh4O58pVXEPK5fTv2v+AC/fPee29kLZ38fEQp3XST8XZXqYKShffdl7rwSyM4fBjDd9gwBKxYrQhD7dFDraFrtXZOgGAxOY4eVYcN7d0rX0oVFuIhBINYukyahHCwpk1RXW7HjrIvWX7+GfHENhuudc89am191y7EPUcjP798iJ9UM0Gmt4xo+LI8dyFgd58wQb/ivcUC9bZq1dSpaXY78yuvJNyNTz+N7YbDgQVKIggGmZ94AkqVlgQ1dizz55/7+bXXQFFy++2IBpk4MZIO6PffDdePKdOmKkMQb3O7weszejTz2rWxfd+/P3Te6BWN3a5v91+1CsEeFgvMzPffD+U0VSseI1u7dsxnnRU5ZC0WDE+VkpydDXN3eRR8SQqHD6sftsOBQkfRN9luR4dbtkT0giwT0OEAl0709xYLloR6kJE6uVwIwZJh5051ImaLFim5TWQ6bQ3iiivUUuWJJ5ReyOPLwbZtkwuNUG0OB9bl0QgEkAm8aZOyK889h7FdpQqEW7du+r4rPQQCGNeFhfhfTyDs38988cUY00YSjMviuNRoC5I9Xghc3+NhvvFGTGZTpkCuPPlkaL9ogW+zqWmXt2yJFahuN6gqjJC9pWpTRSc5neroII0C4oQV+MxQvmSN93gQRPHNN5jpEgyB8o8fD34dzQaWlYVoum3b9NszapT8nXe7keosg4wKwu2GAzcFMAW+UejV0hMCoS+ywaIJ/K5dEcNGHEXQAAAgAElEQVQbr/6cUZU0Kys2fHPmTEiOKlUwONu3V6aOHzsGOgQDmeUJQU8gXHCB8ZBLIcBwsWABJglV1SfVlmj1rHibxRKieDj77ND30QK/fXv1vbnzztQzWaZ6a9Agdoh6PAgoi/d8g0FMahnj03n/fbkm0aRJyN9lpGCC7B1+4gmUV3v6abxnRupVqDSOKlWw1JZh3Tosp7SkEZ8PIVB5eSm5RXoC3xbH4lO5cO214BaIttMT4TFqJZdkpZRsNtjurrwSn994A8dEw+2GEXjpUhRjtlphm4yGxUK0aBEMv3/9hXCSmTMR5RN+3p9/JureHdnAUbZInw/ZneWFbduIfvzRWCQQEbrx889EU6bAVZFoImOqMlQ1BIMhKohVq9T7Pfqo+rc1a9Rm5hMFnToRNW9ONHky3EcNGiDBtEuX0D6//EL0+uvItu3dG9E569fjFdGGYJMmRB99RNS2bTk2ftAgosWLkUErBN4fhwORONr4T2ZgCIH3tlcvbEbRsSMifaJD0oqKImthhOP00/Huf/ghbPqdO6OcWXlk8qpmgkxvGdHwc3NB66inDRw7FsN45R83DuEh1auDdvm999SG0q5dca1gEDV3v/gCSVzNmmHG93iwlFy2DPvl58O2pxfm4fNBlS8nyDTAP/9kHjnSmBknWqtOh0bcpk3q4tyjNfwRI9T35q67Eu9P1aqwQqT6Hqg2lwtBaMXFGM7RgWBz5oAcT7t/Xi9z69axQ1oIRHKlSDHVx++/433RLrZxI6Jv5syJ5WoePDjhFGP/+PG6JlIldu2S2/ATdZilEGSadBLAb7/pD45gEI6Xnj3xYN3uWIeP2y1fVnq9WCp+9RXKJ/brBwqGkhKcd+NGJGWFJ2FMmxbf21elSvyMwhTC7/dHCAltlR3PklWeAi2VmbzRAr9+fQwBGbZti8+EHS00/f7YmgNGjw13WicywTVoII/4DQSYX3rJH7O/VrUz+nufD88/bTh4EEqSywUTp8/HPGmSev/5840PRCGgSLlcoFZIFhs2MF9yCR6A18t8993lNAvKoSfwTZNONJo2RWzagQOxv7VvD/PKWWchA0fLUGGO3C8/n+iMM7C0LCoKrfEHDYLNY/LkUN25hQvBBPbJJ/Il4LJl8WvUBQLlZruZOROlA7t2RUW5Bx5A9bfyyBmJhhCwkEUzcqa7LX/+CRK0oUNjubZOPRXWun/8A4lg0UMjGsxEN9wAUtX33gPbZTjhajz4fEQffICh07AhUaNGiFCMh337YEmsWjXy+zVr5PurzHSFhTD7pA0DByKWtrAw9GBHjsQD6NEjtF9+PuhWr71WbpINh8uFQVu9Oux4ffsiVjdZtG1L5Pcnf3w5wozDl+HSS+XfV68Ohs3owqUybNmCjMB33iF68UUI+lGjEAccLsBzc2Gr//pr+XmaN9cvYOr14gWoXVu/PSnA7NlEt94aMpHu3RsiBlU1rV271Fw7Ou7fZkN93AcfxGOR5QakCyUlmGOnTUNW62+/IZxbQ8eOKIns8xkzy+7ZA0HdsSPuaXTdX5tNHmLODEH8yy+wp1utGLpGrulwyDN9fT7185QlldvtYP9MC3btQi5KtE0+Lw/p1EQQ2A8+iASTjh2RgSuDxYLOZWWBM/rxxzErDx9unD75ZIBK9c/0ltFMW1Usvc2GWN6o76VZeh06xJ73tdfUy81775W35Y8/YsNBtaKnXbsyf/ZZeu9FGLSIOKPkaVoIdLKsmuFmg8suC63qbTac0+vFNQYMwAo61dw0KpNO+OZ04pG63SAaW7cOppImTRK7hhChxxlt2rHZQISnMvkMGRJ6RuvXxzcNeTzwt8gQDIJLJ/qZeb1wJYUPX48Hls20cev8+KM6lrVNG+wzZowxW9iVVzJv3qyszRjhl1q6lPm221Dm7euv43ewoAB2rfvvh19BFbNbTiDThp8gVIPMZsObEuVAjRH4Ho88JGvGDLmB1+FASBgzyhUtWgSbvEbv+v33SBxxubBvly5qI3IaodnFy8qWmchmsSBrvrAQXe7TRx72nJ0NhszyFviydvzwQ3LpGFpfZb+paC683liT9vLlKKiumaijhfcNN0TWG47GggV+btQoVG3M6YQsy81lfuYZOHDbtWN++eVQbkZakJcnf1/sdihIwSBqSce7sV6vOkSyFMcF/ogReH81/m2vF/SrKhw4gIALrZ1eLx5WMg7gFMEU+IliyBB5hftu3SB1ojSKCIFvsSB7R4Zjx+TJW243vH3ff49Yfy3O3u0G935+PgjIt29HZlOG0LKlXABqTVVp8jZb8k5UISBYmOHL1vNfN2pU9tVEWQW+0YQzPaGfyL516qgVys8/lyeON2umr7T6/f7jZSJmz0YgSsYwaVLk+2a3IyJu717MWnoPXMuqu+kmDB6dWc7v9+szbqpqZdx2W+zgFgI5PRmCnsA3bfgyvPACjKJZWfjf50NppqlTYWz98ks1/0bv3iAwkcHnI5o7F6WQqlTB5vHAzt+gAZgADxyAN+3oUTif7rgDpDRt2sBp/MILYN+cPNmYdy6FePbZWG4djwdVr9auVVeccrtBACqzQ8cDMxzD770Hx6aeP27/fqRBJINk2iZDQUHZnMYab48RnH468gW0YRqN11+P9fczo1rVunX657ZYUM1z4EAMzYzhrrtQ07JrV9jp69VDHcmsLDg3mjeXH9e4MXJXFi9GEEaVKnBcnHEG0bffyo+ZO1fumwsE8JsMH30U69FmJvr++/jBFpmAaibI9JZxPvzCQqg3jzyC0MjoMKu77z6uDRzX8D0eEKnEQyDA/J//gItbI6D54gvjBPJ2O67tcmEFUI746CPmiRNR5LppU+Z//zv02/Tpcg28WjV0eeXK5DnyNc1ZL+TR50OEXGldGsOb1cp81VVqZTFVJiyv15gGbzSOf+hQ/WelShyvUiWU5iFDxqkViorgu9LsRWvXxt44qxVUCvPmydOGly7FO3v55bFLLo8nhjbW7/czv/qqXMN3OsGqKUOtWuqHmKHQTDJNOmlAcTHs7tnZEPjt2sHBkyz0krXiScLo2nZphkogFBWhRJ4m9F0uvFsLFoT2mTEjcoWeqAnG6VQfU7s2Vu7nnpvYOWvWBP2EyhSTKoFvlAqiSZNQXoPeBHH77frP6eWX5fIrK0ufNSBjAj8YZH7++VBhk6wsOGVVPrVq1XDc0qXweNevD+/+ypVg81MFSFitMPOEwe/3Y5KRHeN2q9+xESNiHTZWK6jNMwRT4KcZx1+QbdvAqvnmm3Jbe1GR2ni6Z09ynj6XKylGzbIgHtfK4sXMDz2EUqB798qOx3vZvDmcsIkK/Ro1IqN/bDZMIgsXgiAuUX9BlSpQJlXKWnk6qYnAZd+pU/zgE6sV90+rPxCN3FwwlmoTsGbSjpcolTGBP3lybKfjOUQ0AqBwLFgQ/+ZFRdEd7/PHH4cIlbTZuWZNsBHKfADHjoF4yefDjJ6VhRk7g44PU+CnGX6/n/mpp0J2B48HWsFHH2GH5cvx5gmB72+8EVU55s6NHERaiJkmyYxIQr3lZjr7myKsXZs4bbDPh9Xy1KnMgwYxP/AA5tpgEO9/otQGdjvzPfeozTrlLfCNPnpNHt58s/r+FhSgkl6/fsz/+Iex6poZE/iqECW97cILY8/TrVv84xwOMPaVVrCP6PPOnVg9hMf5ut3MAwfK2x0MQot56SXE1eqFQJUDTIGfLH7/HWpjHIpU/9y56qXgypVybUOjYK1XD/HBGpYuxYTQpw9i4eJpOC4X89atab4RUf1NoUAoLk6MNthiAe05M96zhQsRguhyQdDLwhDLumVC4CeyOZ2pNRcn/HyDQYQSjx0Lp45qyREPyZAqOZ2h4wsLQY1y2mnGj/d4mJcvj+zz+PHq9zmD4ZZGoSfwzSgdGYqLwWjZogVStdu1I7riitgcfg2HDskLuFqtyIKVhW0Eg8gK3LuXqF8/pHbffz/q2555JtI4X3iBaP58oosuIqpTB3n7TifOq6VfPv44UbNmqe1/OcJqReCTETidCLYYN45o3jwEX1x+OegACgrw2AoL8XZWJgSDiGDKCPLzUTqsb1+ixx4DN0STJqjpnChat5Z/rwpDIkLkGxFCkmrVwru6ZYtx5sm8PGTqhuPbb+XhYDYbwtEqMEwuHRmefZbo448jY+z8ftAfT5kSu7+mA8iwcWP8WLvNmzFQi4sR4rVoEWoFrl6N2LhvvsH5163DgNu0CTnt115bzty06YEqJFIrhl67NugLOndG3ec9e4gGDIhPmaKd42SfAIqLQcdw2WXgOkp1cXRdjBsXSSmek4NwxMGD1cQ8Kowfj7qM4QqS2030738jxPLHHyP3d7sxwXz6KZSlaIUs/OG73dAGZGGXq1eDXOizz6DYtWqFEM5oSodgEJNZRYZK9c/0llGTTp066uWjVtQ8DP4vvpCbbTQOgHjLStk+dju4dplRcaJlSxi7q1SBEXv69OT7t2kTlq2vvir3qsZBqm28EybIb1/t2qHbvWIFAh/q1lU7V43c5po1Ezf5ZMKko+d4Vlk+nE6QsJYVCT3fU09Vd2DUKOZZs5R0BhE4dgw1J+122O200qJffYXf8/PhZHG5QlE8118PM04UXfnxzWoFBcPll8ORq4qCEwKMt1lZoBH99tvYfe12+OG0oIu1a1Gh6oUXUl9hqIygdNnwiag6EX1FRFtK/2Yr9ishorWl2+dGzp1Rga/yIlqt0ng2v98Pj5hWHk3jki0r0XuDBogzbNIkVkppJd0SxejRsEWGk8AkyG+baoFfUIBKWdo75nLhEWhRrn5/4tTBqq12beOPxWbD3P/yy36uU0e/JEGiW5UqasomIZj79pX/5vUyX3qpvmvnX/8qG79NQs/3lFPUDdH8VHXrxi+RddllsbOcx4OZPhzbt8NxE04tUru2/PoeTyicctUqXYKj47k0FgsSGFasgC/A4cDWu3co8k6jX7Ba8ZvbjVydEwTpFPjPE9FDpZ8fIqLnFPvlJHrujAr8K66Qq4Gnny7d/fgL8sMPSNR6/PHE8utV6lyrVsiQkWUrWa1I61ZhyxZIzPDw0FWr5JLT7QbvuEGkI4qjuBi5Z/fdh1Ds8IVHx46pE7RGtXuLBWGlwSDz/Pl+HjMmssKlNl8m24727SGYVcPktNPkMfhZWcgHVC1CiXDOMWOSfxYJPd/HHos/1i0WeTSNhvvvVz+svn1D+/3xBxSWXr0QmrVzJ7QFlSCvXh0RM+vWyZW4sMEQQY/icIAjhxnvj5YcyYyoHtk75HKFjskw0inwNxFRvdLP9Yhok2K/iiXwf/0V6pem0tlsGDClIVzRiHlBVq82HnpisyFpRKbdvPoq8yefqM915ZWxjTl8GOdzu9EHpxMaSTAIykWZFPH5EtJQyjtsL5G4eqcTK3zVvGY01eGuu3DLbr2Vefz4WPbI8MIjyWwOBwK42rdP7DifjzknB6YbvaSsrKzkic0Ser65uUgaiJc0aLMxP/ssxuCnn4ZCF7/8Un/C0JSsLVvATKft63DgmpdfLn+oTifzW2/h2P794z6sCIHvdGJykWH4cPm5ympmTSH0BL7A78lBCHGYmauVfhZE9Jf2f9R+xaXmnGIiepaZP1Wc7zYiuo2IqE6dOmfNmjUr6baVGUVFqESRmwuHT506CBORICcnh3xatIB27Pr1GArxIAR4crZvD0X6MIPkvWlTeOTWrYs9l8WC8JaaNSO/37aN6MiRyP21fQsK5NU1LBZwj9SoEb+9sv6mGevWyQtwCBGiNHI4iOrWDXUhJwfBGkS4FUKAwujoUWM1Z1u2xH47dhDVr59Du3bF9le7drKvUI0auPWyEsnhCA84ad4cQSuBAOIBVGUZhAD1ki2JsIyknu/Ro3hX/vhDHaSgOVEtFtR4aNUK41VW01nbv1YtjN2tWzGujcLrDRUUWr9eXuc27AHmNGxIvl278L/bjXdSht9/h4M3GhYLHLrVqxtvY5rQtWvXH5m5k/RH1UygbUS0iIg2SLY+RHQ4at+/FOdoUPr3VCLaQUTN4l33hIjDNwipRtS9uzHilNatsX8wCJXvrbewbB09GjH5wSAoHMKXpG43qByig6+PHFEbmtu0gV1StRzdt69s/S0DgkEoetddBz/cggWRNuiJE2OVOCFCPm0V/voLxKXPPQdrVjCIJKV4j0QIJEr26IH/9Zy27dvr2/ZdLvWq4vzz0Yd4K4Fp02DGycmJ7N///ievpEkUyh5OBmV6vsOHG1tGud2I21c5XIkwVjWHaKJOHI0vnzn0IGWrgFatmH0+aPgeD1bFa9eq+6fKq3G7mQ8dSv6+pRCUaZNO1DHvEtGAePtVaIG/eTPeOFkVCW2waEvScKfUokXYx+UKcXH36QMD97x58C2cdx4y+qLffmZIKZVhuW5d7DNiBB+vUK05nN5+u2z9LSOGDImcz7xe5jvuCP1+8KBcqFatGmlejYfHHjMmN9xuWPXatNEX+D4fuIHy8mCijjY92Wx4pDKLhdOJIJbly/V9AVlZ+n1askTOHfbss8k9C+YyPt/Dh5nbtg2ZePRueOvWGI+q36+5JnTecAdKvM1qjawKs2xZbDs8HpARBQLMH3zA/unTES5mRGiPGoWbrr0/SQQ+pBPpFPgvUKTT9nnJPtlE5Cz9XJMQ0dMm3rkrtMBXEcQ0a4Ywrr59QTYTHs5VWAgbZfQxXi+kihEEgyCQkr0EnTuH9lu7FquG555DZmJZ+1sGfP+9WmFatw77vP66fB+vF7QB8VBSgvrwRp2sdergcWiTkEzgW60IotKCtvLyYJ6uXh0CvlcvlDBgDgV1hB9bs2bITDxypLxal9OpX3tDw8KFWPDZbGjTa6+VY5SODEVFsNOPHo3xrrrxp58OT73Kvn7uuaFzPvxw7HmcTpwjmo3P54vMXmdGcYAmTUL+uH/+M2IJpOxzMIiBuGYNBpKGjRvRt4kTwYN1AiGdAr8GES0uFeKLiKh66fediGhq6efziWg9Ef1U+neokXNXaIGvcrLa7aEqVtFYtkx9nB7zXkEBCJ8mTcLAnDtXLj3cbrxc6ehvGfDUU3LLl92O+YgZQU+y26L5AfUwbx7mQCNWBo1cbN48aPiaHJEJ/CuvNE5SGgyC96dtWzBp3HJLbMGylStBJeNwhLi7LrhAvpBLN1LulG/TRh5WPGECwrFkyze7HRTkGgIBKEoaR7bLhdXu/v3QCJo1w/tzxRVqwqBgENViJFw30j6vWoWqOl4vrlm3rj6v9AkCPYFfpkxbZj5IRN0k368iomGln/9LRKeX5ToVDpp3MBoWi35aKSZI+W8y/PwzMnEDgZAnsndvXCfam5efT/T008lXCEkTsrLgcI1mn7DbQaNARHThhcigz8mJ3MfpRFa/Chs2ICNXxYihoVUrsGiccgrR//0f/v/jD7VDtFMnoi++0D9nOIQgGjoUmwrnnEO0cyfRd98hkbptW1xH9egrFD76CPQggQCcp1q19TvvhFf5b38jev/90IMSAu/JP/8ZOofdjhuyYAH2CwZRZKRpU6L77kO2ejw6BSH0aRrCkZND1K1bpKM4J4eoVy+kfUcHS1QUqGaCTG8VWsMfPz7WBuFwIKD82WcRYhaNoiJ54VKvF9mK0QgGodXINHmVF7FRo/T0twzYs0e+4ne5QikEJSWINA2/pR4PlDk908WwYfELm5dyZ0lxySVQNMM1fK+XeebMlHX/hERawm7z8+F5fvll2PHCUVyMYrn16oUqo0cVKJFSJ4c/xKefLlPzYvo8fbo81NTtxsrkBAaZ5GnljHvvhdbickFNFQKazZo1RKNGoTbdhAmRx9hsRJ98AlXW64VG4/EQ9emDOnNEUFlffRXa0Jo18hKH+fly1dRi0VeHM4R69UL8L+FRr8EgOOUOHULTFywgeu45oo4dic46CxQun32mrwFv3aofttiyJSiTzj9fvs/s2QhttFiIqlZF+/7v/4iuuy75/lYqBIMI1WTGuzBwIPiozj4bvzODN2rIEMSYTp8OLXr+/NiwyGeeUS/V8vKInnwSA0L1wBPFn3/KCRHz87EUq6hQzQSZ3iq0hs8ML94dd6gdUi5XrCGXGbGEU6eGYgmZocYOGQJNRqsE5POpnWGNGsVqQxYL8733qiteM8NO+u67cJDNmKEsi5QODXDmzFg7u8NRtsJBWomC6NvjcCRWn2L+fD8vXJhQ5GrFQWEhfDtTphzXqlPitB01CmPUasV4nDMndr877ogNz7rzTvk5jXjcvV6ESwUCCTc5ps8rV6opVux2xBAnEiJWjiCTDz+9kL4gmj1ANTjtduNLww8+kA8+mbfT7YZJae5cOJnCJxyXC6FwMvL0L7+MbK/ViiW2xDOZDoGvqr/qdCbF78bMyHSP5s7xeCJ9gUaQ8Rqv6cLmzRgjWVmhoj3XX598fwMBRL/IyIo8nsgSoKtXy000TqfcMXreefEFvnadyZMTbnpMn4NBOIlVQt/phE3xBISewDdNOqlCURHsAyNGwNm0cqU8PVQDs3GP3JQpWBpHw+HAUtnlwv8eD7jxb78dS+LDh3EdDQUFWI6+/37kebZtg+kovL0lJTAZ3XGHsTaWEbLkRSJYtg4dSu6cNWrA8jV0KFHDhiFL2iuvJN/OkwrXXAPTxbFjMIvk58MscvBgcucbMoRo0iR5KnNeHtETT4T+X7BAnv0aCBB17Ur08suR348fbyxtOC+P6L33Emq2FELA2TxhgjwDPRAg+vprZN5WIJgCPxUIBmGXvOUWopdeIpo4MT5ZuxB44YxA9mIQQeB/8AHRXXchMqi4GBEEp5xC9MYbkJbRyM0lWrgw8ruXX1bbPufPj8/nnwL06iVvrs2GCJpkUb8+0eTJeC/XrYPwPykiX8qKbdtA5xGuEBBhfKhmXz388QfRnDnyYj8aNm0KffZ61QK8uJjokUdQB0LDeecZn6kVFCgJw2ol+vvfQTuiuk4Fs+ebAj8V+OMPDGYtblBPs9fw0ktEDRro71NQgOIOzZuHtPhwWK1EPXrA63nkCCaG3FyQs7z0klxQ2+2YjAYOhEb27bdEv/wSv71pxqhRRNnZmMOIIJQ9HsydsonARBkRCKjDGLVJ4MMPic44AyGIvXsT/fST+nzbtsUXtEePYjVBFApEUCEvLzKwITeX6OGH9Y8hwkRy++3x90sEF14oH4SBgJpz5wSFWfEqFTh0SF+zCUerVihfeO65+vv98ANKGJWU4AUsLMSgKyoKlTl8/31U4tIiIcKhRRhEx/eXlCAyIj8fv33wAUJQVLj0UuPl4pJFMEj1ZrxIeywvUUnwMK3JOo9mnf0iDRzTXhlBY6KMOO00RIRFmwrdbhCATZiAWViLjJk/Hxr3ihWwjUWjRQu52TEczERvvQUl5eab1StXDeErjU8+Ua9CtfeBmej665F8kUqMHIkIoqNHQ0qU14uQrezs1F4rzTAFfiqgshFYLNiCQQj4KVOMlSQsLoZGdfhw5PcOB2ztnToh7LN+faJ33lGbXMLDyqxWqMxFRSFzEzM+q8xPXi8GeroxfDjRO++QNS+PrER07rHFdO73XYjqrCWiiluv94TFvHmoFakJVKsVwtTngw+oVi1oyeFhkMwQ6PfeC/bKTZuIunRB0lODBsYSmgoKkLH25JOxjK7RcLsRl6th/371yrlnT9gEL744xJCZSjRsSLRqFdGjjxItXgyb/v33w9xTwWAK/FSgZk0I0/AXROOn/eEHCGTNVmEE334rXzEUFODlDC+63KWLsdhjqxUvs9EizDYbTEX16hnbP1kcPAitL7q/BQWoLSyrIWwieSxfDnNK9Fht0wZFyPv1I1qyRD2mvv46NEGsXo1nt2oV0f/+B01bj3vaaoVyEa/SvNsNu/mtt4a+u/hiHB8Nnw8+rMsu0+12mdGsWWywQwWEacNPBWrXxoDUsoeysvDd7NkQnIkIe6KQuUWGX38NfS4uxosRrgmpUFgIJ53spZHB5QrZW9OJzZvltt/iYkyWJlKLp56KTWAqLsbY6N0bY9Vm01citN8KC2HmeOghjBc9IU6E59y0qTyByuFAVt0llxCNHYtJJJyT/8wzia66KrJCu8eDlXP37vrXNXEcpoafCgiBZfL33yMcs0EDcNYkKug1XHihevm6cSPRsmUw5cyciZe1XTu8TLLMwHA4HOpM3GgUF6Md6cYpp8jbbbEYM3+ZSAzhkTLhsNmI9uyBj8liIRo8GGMsHoJBmDlmzUJWuSob1uvF+YqKYNaJJkay2+Gh79JFfa2ZM4lmzMCqr6SE6KabYFZJt4/pJIJ5p1KJc86BbbRfv+SFPRE0m5Ej5b8VFxMNGoTBHwhg4P/0E7QrvXAWm43or78itTDVKsJuB7GVKhwtlahbF36JaFI5lwuao4nU4owz5M89GIRtXsPDDxsvl5WdjZXjiy/Kx2DLllhBDBxI1L8/nnn4++FyQbuP56G3WOC7WroUpqnbbzdDuBKEKfDThfx845E7Mpx9tpxZMxiU83wwq1cFDgcmhpKSSBurzQYHnccTcjD7fESdO2O1MmZM8llPiWDaNKJhw9BfqxWOty+/lEeDmCgbnnwydlx5PHBCejyh75o2jTSpqOB0ItnwnXfwDGWrx507EUd/7Bj2X7kS+9aqBR/RffcR/ec/+gkSeXkYE599Vj6mxpMVqhTcTG8Vllph61bwedhs2Hr0ME6cHo79+9U8PIlWz9aqcsioGapVA6WC1cp8yilIr9coG1wukMn/+ae6v6lEcbGc9iHDOGGpFYJB0CNs2RJLG1pUhAIdp54K+oTbbw89xxUrmLt0wfNt1Ai1FMKOP97fKVPiFxIYMAD8TPFKibndzOPGJdfP+fPBy1OlCjaPh/nDD5M7lwIn7DNOAmRy6aQXxwdLTg7IW8I5bjTyqGQKjMbj9o3Hq6NtekRr8TaHA6Rrsv5WEij7e+wYKiFFTbXwl4cAABvPSURBVIjlgtWrIcw9HmzNmqEtGgYOjBTCdjvKYcnI8376CcWEO3Rgvv129i9cGPpt6FD12PB6MVEsWqQu3hO+XXpp4v08cEBdEi0ZRUqBk2lM6wl806STSsyeHSrOoKGkBPH0iVTM0FC7tvx7qzVyWS6EvuOqTp3kaWMLC7GULm9oCWcnIpgR7aJFZzVuTHTttfHpNFKFo0fBN7N9O8ZbXh4yXS+5BOaOTZvwzMIdqEVF8OFMmxZ5Lr8f5pZZsxCy+9ZbKKzz88/4vW9feRSVEOCJXrYMYzEe/YbFEj+zXIY5c+SmnpIStNlEQjAFfiqxZUts9AERBMG2bYmfb8SISLsqEV6u4cMRi1+7Nn6/8krwhauwZ0/i1w5HQQG4eaITwYzit9/Ql8svR9vnz5cLx/37EU9ttcK/4HIh2zNVHOdlBTNsyB07whaenw/hGwhgQr/rrvJpx4cfyuPdi4vx2+rVcodrXl4kPw0RyPHClZTiYny+/378/9576ozY2bMRKqmFS+rZ4F0uPPtEceyYvK9FRfKqcib0oVL9M71VSJPOhx+CalZmUglfJhtFSQnzPffA1lqlCv7ecovcPBQMokhzMmYbI5vHg76tWJHY8nfFCvQ/mjLX5WJ+9FEUgw4Gwb1fr17sdYXAPcggjvf3H/9Q0+USwd6dm5v+Bo0ZIzfhWSzMN9yAegYyM4jDwfzII6Hz5ORIzYb+cePwzLZtk/t+VOOjXr1QrQYh8Mw1m/t11zG/917i9+fHH+V0y14v83ffpeyWVhaTTsYFu2qrkAK/sJC5RYvIEoMOB2yj4RXvE8Vff6EYyoED+vsVFUE4Vq8OZ2yrVok7eONtDRok9nK0a6d/PocDguLJJ9U+C4cDv/fuDb717duTv5dJwO/3wzEaT/i5XKjZmG4sWiQvv6fZtr1ePPfoZ+/zRRbdKSqS9sk/bhwqqn/8sTHbvHbud94B5/1HH8Gv8csvqMSuld30+TAu16411s+iIuazz44dF1Yr80036de3TBCVReCbJp1Uwm5HFepbbkFsco0aWDIvXQob5pIlsPV27070+uvGwzarVUNdPxkvdzhsNlAdHzwIe22jRnhFUokjR4zbqnNyIjODZSgsBO/+6NFq001hIbIv584Fqdfpp4N+ojyxZEn8BJ/sbPhLjKCkBPdm926ELT7yCOLUn38epFx16sBkd++9saaLSy/FeJCF7ebnh8j0LBaMCacT5GYLF0bG2ttsGKvRTKwWC0IlTznFuDmtqAhjo2tXxNrXrg3z0erVITqFnByYBfv1MzYuv/wSiYbRbSgpIbr6apPnOhmoZoJMbxVSw9fDM8/EVuE+80zmgoL0NeyFF+JH51it0OJatNCP9NE2u5398+YZu34goC6oXtatZs3kIp+SgH/hQmiaeu1xu6HZGsHcuYjm8npxfyyWULWxaK3c6cQqqbg48hwFBahs1q4dInRU97lhQ+bOnWHm+eOP2Lbk5yO00ulkrlqV2elk//TpoRXp2Wcbf4aDB0euQs88U76f1wtTXjwMH66+Vt26xu61QZgavonU4cABOPnCoyby8hBNMXNm+q57223QtMKzGr1eRFf07El06qmgws3PJ9qxAxqf14uEG7tdrtEWF2P1YAQOB6hq05ENeeAAtLx4YMYK69139fncVTh2DJr4qlXqfYQAgV6vXvHP9+uv0OT37YMmXlgIJ6mWNBet+QYCeDbz50d+ryU8rV9PNHWqvF4CEdGuXVh1jh8PqoodOyJ/d7ng6N2+HfQgu3djFaA9+4ULwbFjhL7g44+RMKiNc73IHSMrh4YN1Vr8oUMVrvjIiQBT4JcHli+XUy3k5oLnO5UoKYGAW7AAL+nq1RAMp52G8Lu338YkM2cOltgHDkDYaJvViuIpP/0USVSlgRmZvnpFXrZvJ/rqKwib++5LrP1VqoQ+O50wZ6nwzTf6Qnz/fvAM9e4Nyovzz4dQjsc5FI733osfIsoMAWRk8p40KT4PfDRyc1GrUYXOneObSAIBTNSPPhr7W0kJSOwOHowV7NnZGCs1a8ZvZ2EhJjItXPKmm+Rmp+xsY4VD/vY39W8a7biJhGAK/PJAdrb8hbRY1LH2yWDNmhBx26BBsAN/8QVCNjduJPrvf+FDEAITTV5eZLuY8RLZbEStW6uZNZnlIZq5uRCo7dqBH6dRI7AZGqkARoQJZuJE+DYCAfx97DF1OwIBaLcqDBkCQZaTg00LSxw7FqGid98Ngrjhw2M1Xw1r1xoTLLm5mOTiYccOfQphGbxe2NNVcLlAbeB266+mgsHY8pbr1kGTvvpqohtvRI2F/ftjjzXa5tzckH/lrrvga9AoGtxuMMnOnm3M/l63rppzvnFjoiZNjLXJxHGYAr880KULqkpFD3KXK3VFwgsLUUlIK0p99CgE3J13hpJowrFjh9z5mpMDbnMiNZeNxQJT0IYNSMypXx8vdp8+cG6GF1VRCUuLJfJ+eDyYZAYNgmavrYjuuQcTiAzBINGbb8IBHo28PPCzRAuq/Hzs3749cgu+/RZFb9u3l68WTj/dmDnDbocQWraM6LXXUFVM1vcePWJzK/RgsWD//v319+vfH3TSrVrpk55VrQqNfuNGxNp37IgSndqYKSjAymzlysjj+vY1ZprTHMTa52++gclo1Cg4pH/7DStNo5g4EaSE2krB7UYfPvjAdNomA5VxP9PbSee03biRuXHjECeI2838xhupa8SXX8pD6KxWeRz7woXy0D6fD+diZv7221inr8fD/tmzkY6vhf8l43T1+ZhffBEOw27dcC/y8+V927tXn6slKwsO4nAcORJyhMruiez7Cy+MvfaBA+x/8cX4/XG7mdu3xz1xudC/004DJ5KGo0eZR45EXHn4fdNi1rOy4DytWRNtt9sR1rh1a/znv359fD4bjwdUCTVr6jro/ePGMf/975Hn//NPjF+9PAQi9F3mHC4LSkqY581jfuwxjJPDh1N7fq48TtuMC3bVdtIJfGbEDX/3HfN//gMellRixgx1bPaNN8buX1LC3KlTZBy204mcgfCIkG++YT73XLzoLVsyz5iB/vbunZygJ4Jwa9s2sTjqFSvUk4vVyrxpU+wxHToYF/bab9EYOpT948fH7te8OfphtzPXqMF88cWx7bPZmPv3x3kCAfQ5nIxMCETGTJuGyXXmzFA/jh2T897IUFICkju9++10Ml9zjSFOJf+4ccx9+sReJzeX+e23IfhVx7dvb6zNJxgqi8A3TTrlCSFg0+7Rwxj1bCK45BK5ndXrhaklGlpewH33wYbboAFivpcti7SZX3QRojxychBVdP31+D56yZ8IqlbFtRNZknfurDZVlJTIa6q+8w6cwFoEi9cLu7Dq3kd/v28fnLbMsdfbuhX3u6gI5pBvvondr7gYVAzffYc6xD//HOkwZsbx7dvD7Dd4MLjjtbbEqxP766/gxnn1Vf3IqTp1YEqx2YzlflgschOSx4Nxtnu3+liZk9bECQOz4tXJgvr1UTDk+edDYXFeL2zrffvKj/F64cAcOzbx6zVogAifZJCXB3uxXuRHYSHR559jktEibRwOuQNYCAjXadMgfC+7DIKzQwfwG02dCuF43nmI/Bg9Gnb8cB+G242CGuHYvFkd7hjdVhVKSpAopUpWY8bk2aFD/OuEn/PGGzGZaNEqeoK8c2fwzm/fHjspRcPhwL0YNEj+++OPq0MqLRYkcpk4YWEK/JMJo0cj6uTNNyFQBw2CRm60clEieOwxRPzIHJNZWXDcRWu0GhwOZNeeeqr83Lt3Qzj/9RcmB00z79kT0UXR12zaNBTmV1xM9MADEN4vvogoqIcfjtx/7Fg4pufODZWGvPJKFHwJR7NmiYVwyqCVlVTBZjPOIrluHRzla9dC2BvNeH7kEfTj4osRt6+aoOx2oldegeNXFkbMTPTpp+rrNGhANHSosTaZyAxUtp5MbyelDf8kwfH+yjIhXS7mL77A7w8+KM/SdLvhVJVh8mT5MXY7HLy1a4fs0Bo/i8yR6PXCV6KHHTuwz//+p95n8GBjTlvVppelKgRs70VF+u3My2Pu3j1EYJeIo1wIFLaxWPBsnM5Yh63VytyxI/OGDZHPV9YOPR/Ili36/TiBcTK9w2Ta8E2kBa+8giSv88+HeeaCC5CteeWV+H3ECNjrw8P5vF5onOEJVhrefhs+BZkGWlQEjXzTJmji/fpBk588WR6nn5uL8+mhSRP4U/Rq9777LkrxxaP/JYpthxD6IZgdOuD+xVuBPfoo9svLg8kqnlkmHMyw34ebfRo1gt+mQwesBleuxP9nnYXV2c6dcppvlwsrLRlatiRq3tx4u0xkBqqZwMhGRAOJ6GciChJRJ539ehLRJiLaSkQPGTm3qeGfuDDc38JCMCPeeSeiWs4/n3nOHPX+jRrF11ijtWFVOCpRKEKmjPD7/YgoOnxYHZZosTDXqWNM63a7sToyguJidXhpspvLxbxrF85/+DBzrVoRWr9//Hjm886TR1HNnBkb/ulygSWzrAgGEY319NNY6R06VPZzGsTJ9A5TGjX8DUTUj4iWqnYQQliJaBIR9SKiNkQ0WAhhIK/aRIUFM9HIkYg0OfNMaNo33IAkp2uuUR+nF/1BBE04OptVLzrpxhsTbroSQkAbVjksteLy8WC3gw3zxReNXffDD+NnKjud8bNxo/fXCvJMn47VULhfhBn+gu+/jz128GAkPXXogNXbeeche7drV2PXVqGkBBxD3bvDMTxiBFZeS5WixUQSKJPAZ+aNzLwpzm7nENFWZt7OzIVENIuIJHGCJioMiovhFK1TBw7TsWMjhdI//0k0blyIGCwQAHlcdDTQ8uWYADp1QiamnmmFCIIqOu3f64XZxe2Go1EIfNerV4hcLS8PmaVHjiTf540biWbMME5prUK1akQvvKCmi4jGjBnq3+rVw6T2wAOIQho/3lgWbyAAbiUioh9/jCT1C4csQ5sIJrs1a0Cv8d//InS3rJg1C/xPubkQ/nl5MCv173/iVDw7CSA4EXug6iRCLCGi+5k5hlJQCDGAiHoy87DS//9GROcy8z8k+95GRLcREdWpU+esWRWkZmVOTg75Uh1Xf6IiGKScAwfIt2tXyJZsscD2q9lwV6+W25ktFqTyE4Goa+fOkGap1eVlVtMxCIEQTVkESWEhCMxKSqB5as9j715QBxDh3NnZ8B/YbPgbzy5/7Bjl5OeTb/fu1JB1hd8DI9i+XR1j37RpZI0EZkTxFBWp7fwaLYbGQ7NvH1ZWYX3LadiQfHv2wC4vI9BLBzZvhn9C1t5yaMfJ9A537dr1R2buJP1RZevRNiJaRDDdRG99wvZZQgobPhENIKKpYf//jYhejXdd04Z/guK11+RRK24387p1yMbUsx8zI+u0atXY3+x25quuYm7dOrZik9eLEoOBAPPSpbD1RnPER+PNN+U2d7sddv8aNZhXr1Yfv3Mns9eLzNN4dnGPB5msevQGQjD36JHY/Z47V15pKztbHt2zdy/z1Vcju9ZqBTWDVnWqbl3msWMj79uhQ6iQFnav/ePHM591VkorSsXFpZfK71lWFvPy5Wm//Mn0DpOODT9ugDYzdy/bfEO7iSiszA41LP3OREXE8uVyDdVqxTK/dWv1sZoZY9MmubZcVARN79dfEWP+5pugHPb5QALndiOuXhMHHg+Ss845R369Z5+FiUB2Hc0E1asXNFyZieWtt9T2c5st5Dvw+ZD09vDDsGc/8wwycfftQztLSmC7d7lQkSwedu4EkVuDBqBTjvZReL2oBiWL7qlbFzH6wSCuHc90lJ2NTOA77yTy+9HO6tWJFi8uX3KyIUMQLRT9vBwO9fM1kTDKI/HqByJqIYQ4hSDoryOi68vhuibSgVat1IKgSRMIoYsukjvbBgzA3xo11IJUKxHodoMp85578P+uXbh2uL1Zy6rds0duu5bR/EYjLw926AsvjP1tyxZ5iKjHAwE1YACKimRnh4Rvz57YtOPHjYOZ5ZxzEHLauDFMXrNmQSBfey2KhhBhYhg2DL85HGibjIvf6QxRDKuYJ40wfGpo0QLsntp1vvkGZrHyxODBSKpbuBCTvcuF/n38cXoSBysrVKq/kY2IriGiXUQUIKI/iWhh6ff1iWhe2H5XENFmItpGRI8YObdp0jlBsWdPrEnHZgMzpGYC+OsvFFC3WGAqsFiYzzknspxj166x4YZeL/Nnn4X2CQZDpfaefjqSeCx8yT9zprytKjNB+FalCvOCBbHHFhYeJySLMem4XCjQnQyeeAJmH4sFm8fD/MAD+O2ll+IzXoabh7xe4+GdCSBj4zkYhPlmzBjm115jPniw3C59Mr3DZLJlphcn02AxAv/cucxt2iCL1OFgvuyySErcQIB58WLmV18FE+T69bEnOXAgZFvW6KKfeQa/7d/PfO21mBCsVubLLwddryqmfOJEHLdoEfMllzA3bYr6qh9/LLd/R9vec3Ji2zdnznH20RiB36ED80UXIe6+Wzfm//439vhPP8U9qloVbVqxAkyYMrZKzf9x6qnGhH10+1etKvtDDUNlG8/MJ1ef9QS+uVYykTg8HoTsHTgA80I4q+OSJciCDQ+le//92CImNWqAmXPbNkTRtG+P8wSDMK9s2xYy+3z1FX7zemNtvEKAnGzGDNTw1Uw+O3fClq0yP1ksMBu8/ro8AmTNGnm2qRDou9a2P/+ESWjePOQEEBE99RTRE0+ETCRLliBO/dZb1b6Lzz8H/1GiKCgAv81ZZyV+rIlKB5NawUTyqFkzUtgfPkx01VUIIzx6NLQNHIjwSBmaNQM1sHaeRYvgRA238QeDcFw2bhxpq/d6kdDVqhWoncPt+8Eg/peRn9lsIJb74QfUXZWheXM1jXK0/yE/H4lCRPAbhAt7DQUFcLTKbOsWC2z2RoqgR8NqNcboacIEmQLfRCrx8cfy+O9gMFTYOh5+/VXuKM3NJerWDVErXbsSXX456JDffBNatiwaR7t2NNxuUEbrFdIeMACTS7iAtlrV8e0bNuDvlCnqffbulf9mtWJSHDsWK6ZEYLUSXXddYseYqLQwBb6J1OHwYXn0TSCgX6AjHO3ayWuner2gabjlFqKvv0ZWZv/+MLFUq6YWsjKTTnExTEjR2LgRxWKqVyc64wxECF1wAc5hs4FeWBW9ohWj37NH3bdq1TAhuFzoj9eLzxMmIImqYUNQKaiiUjweTAg+HzaXCwR2zZqpr2nCRBhMgW8idejeXS6sPB6ETxrBJZdAgIVn01qtELSqohweD0w70dWWPB6YisJj0d1utEWjFtCwfTuqkX3xBSanrVuJnn4aTKAdOoCWYfFi0BhEh4B6PIjDJ8IEoSr2PXw4qBB+/x3FuSdMAC//sGGhfa66CmygLheEutuN8z/yCCaTvXtRJF079rbblLfShIkYqLy5md7MKJ0TF7r9HTo0MrvV6wVrZSJZm4cPh87jcoEHf/fu2P0OHWJ++WXm225jnjQJkTlOJ6JrfD7mceOQLTt4MKJl6tVjHj06tuA5M/OwYQgvlUQB+RctCu1XUsL88MOIjvF6cZ0xY0L9CwQQohrNG9+6dWL3YN8+5g8/BF9/PL78FKOyjWfmk6vPZEbpmCg3TJkCLfWdd2A6uekm2MMTydqsWhVlCadOVe+zaROSjgKBUFWsatVQDYoIJhLNmTlzZvxrrlghZ910OCIdvxYLNP/HHoPvoG7dSLu7w4HM1X/9C34LqxUa/MiRid2DWrVCiWomTKQIpsA3kVoIATu4rHB6KjFsGHwGmu0+NxeCecwYfYZJFVq2JPrll1hfQGGhnKzN5QoRkEWjalUwYr7wQuLtMGEijTBt+CYqHgIBaOTRwrm4GDb4ZDBqVKwPwOXCasVM7TdxksAU+CYqHiwWNVeMymEaD2efDX6aRo2g0btccARPn558O02YOMFgqi4mKh7sdhTh+PLLyDBQp1OdSGUEvXsj8uXQIUTIJBoTb8LECQ5TwzdRMfHGG8iGzcpC2KLXC3qBf/2rbOcVArQPprA3cRLC1PBNVEzUqoXsVr8fMfPt2xN17ly+HO4mTFQwmALfRMWFxQK6hW7dMt0SEyYqBEyTjgkTJkxUEpgC34QJEyYqCUyBb8KECROVBKbAN2HChIlKAlPgmzBhwkQlgWAVj3iGIYTYT0T/y3Q7DKImER3IdCPKEWZ/T25Utv4SnVx9bsLMtWQ/nLACvyJBCLGKmTtluh3lBbO/JzcqW3+JKk+fTZOOCRMmTFQSmALfhAkTJioJTIGfGryZ6QaUM8z+ntyobP0lqiR9Nm34JkyYMFFJYGr4JkyYMFFJYAp8EyZMmKgkMAV+EhBCDBRC/CyECAohlKFcQoieQohNQoitQoiHyrONqYQQoroQ4ishxJbSv9mK/UqEEGtLt8/Lu51lRbznJYRwCiE+KP19pRCiafm3MnUw0N9bhBD7w57psEy0M1UQQrwthNgnhNig+F0IISaU3o91Qogzy7uN6YYp8JPDBiLqR0RLVTsIIaxENImIehFRGyIaLIRoUz7NSzkeIqLFzNyCiBaX/i9DPjN3KN2uLr/mlR0Gn9dQIvqLmZsT0UtE9Fz5tjJ1SGB8fhD2TKeWayNTj3eJqKfO772IqEXpdhsRvV4ObSpXmAI/CTDzRmbeFGe3c4hoKzNvZ+ZCIppFRH3S37q0oA8RTSv9PI2I+mawLemCkecVfh8+IqJuQlTYiisn0/g0BGZeSkSHdHbpQ0TTGfiOiKoJIeqVT+vKB6bATx8aENHvYf/vKv2uIqIOM+8t/fwHEdVR7OcSQqwSQnwnhKhok4KR53V8H2YuJqIjRFSjXFqXehgdn/1LzRsfCSEalU/TMoaT6Z2Vwqx4pYAQYhER1ZX89Agzf1be7Uk39Pob/g8zsxBCFcvbhJl3CyFOJaKvhRDrmXlbqttqotzwBRG9z8wBIcTthNXNpRluk4kywBT4CjBz9zKeYjcRhWtEDUu/OyGh118hxJ9CiHrMvLd0ibtPcY7dpX+3CyGWEFFHIqooAt/I89L22SWEsBFRVSI6WD7NSzni9peZw/s2lYieL4d2ZRIV6p1NBqZJJ334gYhaCCFOEUI4iOg6IqpwkSul+JyIbi79fDMRxaxwhBDZQghn6eeaRNSFiH4ptxaWHUaeV/h9GEBEX3PFzVyM298o+/XVRLSxHNuXCXxORDeVRut0JqIjYabMkwPMbG4JbkR0DcG+FyCiP4loYen39YloXth+VxDRZoKW+0im212G/tYgROdsIaJFRFS99PtORDS19PP5RLSeiH4q/Ts00+1Oop8xz4uIniKiq0s/u4joQyLaSkTfE9GpmW5zmvv7DBH9XPpM/UR0WqbbXMb+vk9Ee4moqPT9HUpEdxDRHaW/C0Lk0rbSMdwp021O9WZSK5gwYcJEJYFp0jFhwoSJSgJT4JswYcJEJYEp8E2YMGGiksAU+CZMmDBRSWAKfBMmTJioJDAFvgkTJkxUEpgC34QJEyYqCf4fRtExe63A670AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import sklearn.datasets as ds\n",
    "import matplotlib.colors\n",
    "data_num = 1000\n",
    "k_num  = 2\n",
    "data,y=ds.make_circles(n_samples=data_num, noise=.1,random_state=0,factor=.4)\n",
    "# 不同的数据簇用不同的颜色表示\n",
    "data_colors = matplotlib.colors.ListedColormap(['red','blue'])\n",
    "\n",
    "# data为二维数据\n",
    "plt.scatter(data[:,0],data[:,1],c=y,cmap=data_colors)\n",
    "plt.title(\"orginal data\")\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "model=KMeans(n_clusters=k_num,init='k-means++')\n",
    "# 训练\n",
    "model.fit(data)\n",
    "\n",
    "# 分类预测\n",
    "y_pre= model.predict(data)\n",
    "plt.scatter(data[:,0],data[:,1],c=y_pre,cmap=data_colors)\n",
    "plt.title(\"k-means' result\")\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
